You can do both. I'm a physician and a comeback player after a 20 year hiatus from playing. I started from scratch again with a good teacher and had a lot of fun doing it. It was a great diversion from the stresses of practice and gives me something to do a form of relaxation, and I believe helps keep my mind sharp. Much better than TV. And I have the pleasure of making music with two regular bands as wellas occasional spots for stage work. So I must challenge one of your statements that having a profession and being a musician don't go together. There are several musician/physicians on this forum and I'm sure most would agree with me.