I was driving home in a heavy snowfall yesterday, and while turning onto an onramp for a highway my car skidded out and I hit the median (separating the turn lane from other lanes) almost perfectly sideways. As best as I can figure, this was an impact against the tires only (there is no body or paint damage to this side of my car).
I believe I was moving at around 20 miles per hour, although I suppose it could possibly have been as fast as 30 (but I don't think it was that fast). The impact itself was not violent, and I would loosely rate it as similar to an average bumper car impact. In my (limited) driving since, I have not noticed any obvious signs of damage to my car; the wheels don't seem misaligned, and driving seems as smooth as it's been.
I don't know much about auto bodies, so I'm concerned that there might be some damage that is not easily observable and that I don't know enough to check out. The obvious move would be to have my car checked at a body shop, but I just had a modest amount of service done and I would rather avoid the cost of another check if possible.
So, in your opinions, how likely is it that my car has suffered meaningful damage as a result of this minor collision, and (similarly) how important is it that I have the car inspected? It is a 2015 Honda Fit, if that helps, and the median was standard curb height.