The only time that my GP ever asked to see my genitals or touch them before I changed was to ensure that I did not have a hernia.
I was never asked by my GP, endocrinologist or even my surgeon when I changed, if they wanted to see my genitals. So I would be curious as to why they would want to see yours. I suppose they want to check to see that nothing is physically wrong. So I would suggest that you ask why they want to see your genitals, if that is what they want to do. If they do ask you that particular question then you can decide whether it is appropriate for them to see your genitals.
My prescription for my hormones lasts one fortnight and I have a prescription that allows for 6 repeats, which means, my hormones last 3 months before I have to go back and see my GP to get my prescription renewed. Every 6 months I have blood works done to check that everything is ok. But then again, how people get their prescriptions filled and take their hormones depends on where you live and doctors that take care of you.
If both of you Andthenwekiss and Jerica have very long hair, you both will be beautiful young ladies. But then again I'm biased towards long hair!

Sorry I never answered your questions. Yes you can be a little nervous on your first visit or you can be the confident young lady that I know you are. The blood works will establish your existing T and E levels and other factors that the doctor wants to test and from those blood tests your dosages will be established. Blood works usually take a couple of days to do. The physical will generally be to see how healthy you are.
Take care and let us know how you go with your appointment. Your experience will be very much appreciated by the other girls on Susan's.
Kind regards
Sarah B