I guess you have your answer.
If you think that your career is more important than transitioning, and if you feel that transitioning will make your career unsuccessful, then there is your answer. Ultimately, it comes down to you and how you feel about things.
I can't say that you will be successful in your chosen career as I am not in the public eye, but I think that you could be at least satisfied in your career before, during and after transitioning. I have to say that it will probably be harder on your career if you do decide to transition.
Good luck!