320 an hour for an initial appt. is about right IF YOU ARE SEEING A PSYCHIATRIST! If you are seeing a therapist, i.e. psychologist, LPC LMFT, etc, the going rate around here is between 82- 120/hr depending on experience and training level ( Ph.Ds get to charge more than M.S or MCSW - however, that does not mean they are any better - or even a better fit for you). Just find someone who has experience with GBLT clients. look for one who specializes in these issues. Check out some GBL boards in your area for name if you can.
Good luck.