Transmen do not want to be recorded as women or to be addressed as such.
Women do not want to be recorded as chest-feeders or cervix-havers - it undermines their status as women.
I have seen placards among gatherings of the trans-community with inscriptions and slogans like, trans lives matter, trans forever, trans people belong, trans rights are human rights, etc.
The trans community is a legitimate fraternity of people who want to identify differently to their natal sex, neutrally, or even as both at different periods.
So what the heck is wrong with transwomen, transmen or gender neutral as the general descriptive in medical literature?... women and transmen, or even women and transwomen if the subject matter is appropriate, and women and gender-neutral? No one is being named and the personal preference can be accommodated once the would-be patient is entered into the computer / system.
How you identify is personal, it is how one feels, it is not a biological status.
Are men referred to as penis-havers?
A NHS guide on matters relating to various body parts - testicles, penis, and... "becoming a dad" - these are all labelled under Men's Health. No tricky twisting of the terminology there.
It's women, once again, being expected to accommodate a handful of men who are not content to simply express themselves, but who want to dilute women to the point that they no longer have legitimacy as a biological sex.
Hence all the nonsense about same-gender attraction used as a verbal weapon to berate those who are same-sex attracted - because it re-enforces the fact that, for example, lesbians are generally not attracted to transwomen because they are men. And the only way men can get round this is to attempt to change the language, because they cannot change the fact.