Update!
So I saw the psychiatrist. I have to write three pages on "why I want to be a girl", visit the clinic regularly to check I'm still presenting fem, and then in six months if I haven't changed my mind I get my permission slip. Oh, and I have to visit urology so they can look in my pants. Then I get to join the hospital wait list...
Pretty dumb, but as hoops to jump through go, it could be a lot worse.