Hi Jenni,
I feel for you. Doing hair is so fun. That is how I put myself through college and grad school. It was very enjoyable and great for social people.
I think for now you need to focus on getting better. If doing hair aggravates your injured area that's not a good thing. However, If there are aspects of doing hair that you CAN do, then maybe consider those. I can see color being easier than cutting but that depends on what is going on in your wrist.
Your state should have a Rehabilitation Commission that can potentially pay for training for you to do something else regardless of any cases or claims. It never hurts to go in and get information.
Sending Healing Love, Littlepaw