How to calculate distance from object to point on celestial sphere I'd like to calculate the distance (in arcsec) from the object nearest to ra='08h55m10s' dec='-7d14m42s' to that point on the celestial sphere. 

I am actually having trouble identifying the object. I have python code to run a cone search: 

from astropy.coordinates import SkyCoord
from astroquery.irsa import Irsa
import astropy.units as u

loc = SkyCoord('08h55m10s',' -7d14m42s','icrs')
table = Irsa.query_region(coordinates=loc,catalog="wise_allsky_4band_p3as_psd", radius= 1 * u.arcminute)
print(table)


This prints:

designation        ra     dec   ...       angle         id
                  deg     deg   ...        deg            
------------------- ------- ------- ... ------------------ ---
J085507.72-071428.4 133.782  -7.241 ... 291.84348499999999   0
J085511.22-071522.2 133.797  -7.256 ... 155.64652000000001   1
J085508.65-071354.0 133.786  -7.232 ... 337.39116000000001   2
J085509.94-071534.8 133.791  -7.260 ... 180.87171799999999   3
J085511.28-071528.1 133.797  -7.258 ... 157.48249000000001   4
J085509.47-071502.9 133.789  -7.251 ...         200.548395   5
J085513.60-071440.0 133.807  -7.244 ... 87.949470000000005   6
J085510.83-071442.5 133.795  -7.245 ... 92.439341999999996   7
J085511.39-071427.5 133.797  -7.241 ...          55.110833   8
J085513.30-071420.4 133.805  -7.239 ... 66.332006000000007   9


And this is where I am stumped. Which of these objects is nearest to the point? (I assume it must be the object in the zero index). And why? And how can I calculate the distance from the object to that point on the celestial sphere?
The shortest angular distance between two points on the celestial sphere is measured along a great circle that passes through both of them.

The equation your program is using is
$$ \cos \theta = \sin \delta_1 \sin \delta_2 + \cos \delta_1 \cos \delta_2 \cos (\alpha_1 - \alpha_2), $$
where $(\alpha_1, \delta_1)$ and $(\alpha_2, \delta_2)$ are the right ascension and declination of the two points on the sky (expressed in degrees, then converted to radians).

In terms of output from your program its harder to help, especially as you have not given the full output. The first three columns should be self explanatory - columns 2 and 3 are just the coordinates expressed in degrees. I am guessing that the third column from last, that you haven't shown, gives the separation between your object and the catalogue objects and that the penultimate column is the angle that the great circle between the points makes on the sky. That looks right because the fourth object in the list has almost the same RA as your input object but  is 67 arcseconds due south (i.e. at 180 degrees).