Hi Lauren,
I was nervous about coming out to my GP as well. I have been seeing her for several years, and go to her every six months or so to get blood work done. A few months ago, she asked me, as she usually does, if there was anything new, and I just told her, "Yes, I have been seeing a therapist and I identify as transgender." She barely batted an eye. I kind of blurted out a five-minute life story, and she mostly just listened. At the end of the visit she entered "Transgendered" in the diagnosis section of her electronic medical records. What amazed me is that "transgendered" was actually a choice on a drop-down menu, lol.
It's silly, I know, but I was really tickled to walk out of my doctor's office with my printout declaring I was transgender. It's like, "Wow, it's official, it's in my medical records!"
I guess all I'm trying to say is that you have nothing to be ashamed of, and I doubt your doctor will judge you or throw you out of her office.
With kindness,
Terri