Please.. Transphobic people protest inclusive language because it acknowledges the existence of, and respects, trans people. The same reason racists rage against language options, and ableists decry provisions for neurodiverse people.
Most inclusive language used in the NHS is tacked-on - 'men and everyone else with a prostate' for example.
The NHS has a responsibility to every community, and needs to adapt its messaging to include everyone. It isn't the fault of trans people if it fails other minorities.
Cis girls, for example, need to be included - too often, pregnancy messaging excludes them, even though pregnant girls are an incredibly vulnerable group. I met an ex-student of mine in hospital who hadn't attended any pregnancy healthcare at 17 for fear of being judged. Everyone who is pregnant or needs intimate care needs to feel they can trust healthcare professionals.
I'm working-class, and know working-class trans people, many of whom have autism (something common within the out trans community, since autistic people tend to be highly honest about themselves). Inclusive language is vital, and needs to be adapted to every community's needs.
Aautistic people are merely likely not to understand subtext, btw. Which is why plain, inclusive language targeted at them is so necessary.
'Anyone who has a uterus' is very specific, and should be translated to every community as well. That's basic healthcare. The NHS is for everyone.
Vulnerable refugee women need interpreters, trans people need gender- inclusive language, and my deaf son would quite like his audiology clinic to get an LED sign instead of calling out names from a desk.