Therapy is recommended, but -stated- as not a requirement for HRT. Even full HRT is possible to be obtained through simple informed consent and maybe 1-2 meetings if you find the right place. I personally do think the therapy is useful, but what I think is irrelevant.
Through this, I think it would be entirely possible, depending on the professional/team, to ask to have an anti-androgen while you have therapy, even if they're not an informed consent place. That way, knowing that you're not masculinising anymore, or at least not as fast, you can invest yourself into therapy more, and feel less urgency. I think that's the trap with usual therapy programs. They give you nothing until you have the go-ahead, so of course, anyone would walk in there thinking less of genuinely settling gender issues, and more of how to get the damned letter as quickly as possible.