A few things.

Firstly, OP specifically said “Ideally without disclosing I’m trans”. Your whole comment was unnecessary first off from the outset.

Secondly, you have grossly overstated medical necessity here. Hormonally trans women who have been on HRT are functionally much closer to cis women than cis men. Trans status is rarely relevant to any medical treatment that isn’t specifically about reproductive organs.

Thirdly, trans status is a matter of life or death in the vast majority of the world. Medical necessity, even if it were as significant as you’ve tried to portray it as, means nothing if you get arrested or killed.