Hi Hazard,
I also live in Hampshire, so I'm snowed in too..
Doctor's appointments here tend to be relatively short, so like you said, just say how you feel.
Although your doctor will know what you mean, she may or may not know the procedure to deal with your request if she has no previous experience, so don't be surprised if she asks you back for a second appointment.
If she wants more information, suggest she contacts "GenderTrust" on the web or by phone. Alternatively we can help you to find any information you need for her.
Good Luck...at least the snow should be gone by Thursday.
Chrissty