I fell off my bike and now I can't feel my hand?

You could possibly have nerve damage. The CT will confirm nerve damage. The most important thing for you to do now is to not cause further injury to the area. Rest your right hand. A cold compress and motrin can help reduce swelling, therefore take pressure of the nerve and prevent further injury. Call your Dr. and ask for his/her opinion for treatment. I am only a nurse with a suggestion consult your Dr. for the best treatment for you.