It certainly won't hurt to get it checked over, but chances are the bike is fine. If the wheels are spinning smoothly and straight, the brakes aren't rubbing, and you can use all the gears smoothly without any strange sounds, then all the most exposed parts are most likely sound and not knocked out of alignment. Usually you can feel vibrations or hear it if something is off.
You could have cracks in the frame, which is serious, but that takes a pretty hard crash and usually involves fairly high speed and you landing on top of the bike.
Hope you heal up well! Can't buy spare parts for that
Winter riding is much less about badassery and much more about bundle-uppery. - malkin
1995 Kona Cinder Cone commuterFrankenbike/Selle Italia SLR Lady Gel Flow
2008 white Nakamura Summit Custom mtb/Terry Falcon X
2000 Schwinn Fastback Comp road bike/Specialized Jett