You could split the difference, and tell your doctor you are having issues with stress and ask for a referral for a therapist. Then, you could discuss your TG issues with the therapist.
One thing I'd wonder about is the fact it might end up in your medical record, and given what is happening with healthcare today who knows who will be allowed to see it, or how secure those records will be kept. I know my medical records state I am a TV somewhere in there, makes me wonder who could get into those and find out about me... not something I worry about per se, but it makes me wonder.