Distance between LineString and point

I have painted the line from the data you provide, and the point in question whose distance to the line you want to know. This is the look (the red dot is the one you give with coordinates (-58.503015,-34.704488) :

As you can see in the figure, the point you have given falls in such a way that the shortest distance to the line coincides almost with the distance to one end of the line. The following figure zooms to that end, and paints in green the point you found with your code (the value of the variable np ):

The green dot falls on the extreme point of the curve, so it is not a good example to determine if you are calculating the distance to a given point, or to the line that interpolates two points.

Let's try instead with the (-58.45,-34.68) coordinate point that falls closest to the center of the curve.

Yes, using your same code but doing Punto equal to the value I just mentioned, we paint in red the point and in green its projection on the curve, we see that what you get is what you were looking for, the distance to the line that joins the points (because in fact p.distance(linea) returns the same result as p.distance(np) , except for floating point rounding error).

Look:

Update

This is the code with which I generated the graphics. It's matplotlib , executed in a Jupyter Notebook.

%matplotlib inline

from matplotlib import pyplot
from shapely.geometry import LineString, Point, LinearRing

# Datos de entrada
Line =  [(-58.39323087479187, -34.64522852285068), (-58.39493519860744, -34.64593911202303), (-58.39540370387294, -34.64612018963881), (-58.39577715270643, -34.64624297063709), (-58.3961720086682, -34.64636735300267), (-58.39657393244798, -34.64649079664271), (-58.39686900560828, -34.64658786576401), (-58.39768408267521, -34.64688376919202), (-58.39804117638568, -34.64699057960223), (-58.39811749931905, -34.64700849164973), (-58.39828903137601, -34.64704378391358), (-58.39848415993365, -34.64708122410398), (-58.3986547387477, -34.64709449060737), (-58.3988514934597, -34.64709955836587), (-58.39897325079004, -34.6471023653607), (-58.39913887311855, -34.64708744614302), (-58.40078230339798, -34.64694668280777), (-58.4011366548087, -34.64692373544752), (-58.40140137506319, -34.64690660901691), (-58.40169294994597, -34.64689298223946), (-58.40188791399491, -34.64691373562576), (-58.40216794959328, -34.64695369573664), (-58.41441599275006, -34.64898345419851), (-58.41468645364731, -34.64902341675737), (-58.41491789917437, -34.6490522244158), (-58.41504783372419, -34.64906712767555), (-58.41517069354625, -34.64908171429391), (-58.41533660567228, -34.64909137548982), (-58.41610344894117, -34.64910924442286), (-58.41663883920926, -34.64911070715178), (-58.41691994816962, -34.64910623905278), (-58.41712925394172, -34.64908282123896), (-58.41735140092969, -34.64905175937751), (-58.4175040105956, -34.64901464682342), (-58.41778163827102, -34.64893890857992), (-58.41810776345819, -34.64882463807892), (-58.42014859446244, -34.64801074189261), (-58.42109129459963, -34.64768468167974), (-58.42150738131538, -34.64755870865789), (-58.42342555778116, -34.64704856595483), (-58.42380036444368, -34.64696522849173), (-58.42402399498763, -34.64692538456899), (-58.42422994553617, -34.64689682578112), (-58.42442882836995, -34.64688048716456), (-58.42466544132492, -34.64686749516407), (-58.42492895224804, -34.64686969903472), (-58.42519118859626, -34.64689581060387), (-58.42548633816839, -34.64693076251233), (-58.42574834123136, -34.64696690278817), (-58.42600734692162, -34.64703299983701), (-58.42633487929256, -34.64713342399471), (-58.42672363380665, -34.6472903832091), (-58.42701863504796, -34.64744017525714), (-58.42735477118806, -34.64764714102999), (-58.42758954729708, -34.64780944247776), (-58.42780426987807, -34.64798874926387), (-58.42805931284784, -34.64825160891823), (-58.42826384085686, -34.64851328718624), (-58.42836837245316, -34.64865441916345), (-58.42849097552769, -34.64886100909527), (-58.42863862000018, -34.64921981114054), (-58.43039902344795, -34.65411150588781), (-58.43058099211167, -34.65454759092934), (-58.43074440690579, -34.65487960245804), (-58.43091147516467, -34.65519055733962), (-58.43112803380347, -34.65554914847827), (-58.43260609566938, -34.65801519415205), (-58.43278567440816, -34.65827265019357), (-58.43296016110701, -34.65845540315134), (-58.43315011877778, -34.65865061801186), (-58.43335842356506, -34.65885169235345), (-58.43349821535271, -34.65894935913921), (-58.43369231539262, -34.65907745659961), (-58.43391244522258, -34.65921105679707), (-58.4342196854351, -34.65939138210857), (-58.43446159367213, -34.65950262175289), (-58.4354319679709, -34.65989668701516), (-58.44002778106239, -34.66183363815986), (-58.44218397209216, -34.66275027310008), (-58.46163757545956, -34.67090968101208), (-58.46246050330255, -34.67120817614321), (-58.46280547898094, -34.67132107658005), (-58.46307488578911, -34.67139608443851), (-58.46332241010779, -34.67144991252323), (-58.46353300409209, -34.67149541798045), (-58.46859653017688, -34.67249959570204), (-58.46908781436287, -34.67259411624501), (-58.46938034898276, -34.67267684368898), (-58.46981999535013, -34.67282189408634), (-58.47017709131737, -34.67296547046871), (-58.47422872212128, -34.67473003403723), (-58.47458907678709, -34.67490463353656), (-58.47485536868304, -34.67507001487545), (-58.47511721636123, -34.67527809815956), (-58.47561611823835, -34.67573966172805), (-58.47637678148585, -34.67650147966764), (-58.4772898411353, -34.677473083393), (-58.47756878106423, -34.67779366716631), (-58.47927838887487, -34.68008637250686), (-58.4796189824651, -34.68046368453628), (-58.4797836819284, -34.68061589623475), (-58.47997298162954, -34.68077149644261), (-58.48013854950542, -34.68087214089938), (-58.48033951807771, -34.68099482470753), (-58.48077178430249, -34.68117907983302), (-58.4809809942354, -34.68125468946911), (-58.48151812211091, -34.68141121492266), (-58.49074865351113, -34.68364996209967), (-58.49280644305118, -34.68416717487745), (-58.49323181266317, -34.68430677581161), (-58.4939040130434, -34.68450404480966), (-58.494446444632, -34.68469758388901), (-58.50679022633284, -34.68987115611775), (-58.50863040256832, -34.6906581855909), (-58.51021336002367, -34.69130911057548), (-58.51092048468821, -34.69162906732615), (-58.51128148474532, -34.69180116103016), (-58.51164513166684, -34.69197626961216), (-58.51190552938787, -34.6921423269721), (-58.51223224913973, -34.6923465503359), (-58.51266317587315, -34.69263696928233), (-58.51283797439013, -34.69275574911642), (-58.51343928772994, -34.69323891435921), (-58.51613617076313, -34.69565149779803), (-58.51639524277449, -34.6959621229764), (-58.51657880735801, -34.69623621532357), (-58.51668736518741, -34.69648714304233), (-58.51677990482248, -34.69677220564932), (-58.51681912473175, -34.69694815217243), (-58.51683540541565, -34.69728978685934), (-58.51682586767205, -34.69757721116119), (-58.51679226699013, -34.697818097686), (-58.51670205772855, -34.69812198637412), (-58.51657448656194, -34.69837726193614), (-58.51643210417134, -34.69861385564264), (-58.51621815101113, -34.69887195886386), (-58.5160233966457, -34.69905049204797), (-58.51546229204164, -34.69948099921363), (-58.51164101129704, -34.70237114559549)]
Punto = (-58.45,-34.68)

# Computar la proyección del punto sobre la línea
line = LineString(Line)
p = Point(Punto)
np = line.interpolate(line.project(p))

# Función para pintar una serie de puntos en el color que se le pase como parámetro
def plot_coords(ax, ob, color='#999999'):
    x, y = ob.xy
    ax.plot(x, y, 'o', color=color, zorder=1)

# Función para pintar una línea (irá superpuesta a los puntos)
def plot_line(ax, ob, color='#6699cc'):
    x, y = ob.xy
    ax.plot(x, y, color=color, alpha=0.7, linewidth=3, solid_capstyle='round', zorder=2)

# Creación de la figura con matplotlib
fig = pyplot.figure(1, figsize=(6,6), dpi=90)
ax = fig.add_subplot(111)

# Pintar la línea y los puntos que la componen
plot_line(ax, line)
plot_coords(ax, line)

# Pintar en rojo el punto externo y en verde su proyección
plot_coords(ax, p, "red")
plot_coords(ax, np, "green")
ax.set_aspect(1)