Fred,
I had exactly that injury on my drawing arm.
I elected to NOT have surgery and rehabbed the injury myself. I slowly started with curling a very light weight multiple times many times a day. I slowly increased the weight over time until strength returned.
When I returned to shooting, I actually improved because I was forced to focus on drawing with my back. I'm 60 now and able to shoot 60# bows easily and train with 70#.
The key I believe is go light with the weights and resist the temptation to rush the process.
Good luck. You should be able to comfortably get back into shooting.
Todd