I guess a lot of it depends on whether the therapist feels you are ready for that, whatever guidelines they might be using, and so forth. They might refer you next month or the month after. Perhaps it's best that you ask them. They will want to feel confident that you understand what is involved and what can happen on HRT, etc - if you seem to be rushing the process there is a chance they will put the brakes on so don't pressure them. Then finding an endo who will prescribe might be whole other kettle of fish. Other issues might include your insurance and who takes it, etc, etc. So yeah, no easy answer.
I understand that you're in a burning hurry to start but an extra month or two won't make a massive difference in the long run.