Welcome to NeuroTalk. Sorry to hear of your fall and concussion. I can remember the risk of trying to keep my hands warm while being on a slippery surface.
It sounds like you may need to have a therapist try the Epley Maneuver to see if it will resolve your dizziness. There is a YouTube video that may help you do it at home. The goal is to get particles in the inner ear to move to a place where they do not cause dizziness. these particles can get knocked loose by the impact.
If you have other symptoms, let us know and maybe we can help you.
My best to you.
Mark in Idaho
58 years old, retired due to disability, married 33 years, father of three, grandfather of four, Suffered a serious concussion at 10 years old (1965) stopped most driving after last concussion at 46 years old (2001), Post Concussion Syndrome/Multiple Concussion/Impact Syndrome with PTSD, immediate and short term visual and auditory memory problems, slowed processing speed, visual and auditory processing difficulties, insomnia, absence seizures, OCD, 14 concussions since first concussion at 8 years old, Taking paroxetine and gabapentin for 12 years. Added L-Tryptophan and reduced paroxetine by half 3/2013
"Be Still and Know That I am God" Psalm 46:10