"Assigned female at birth" isn't inclusive. Why doesn't it say "women" anywhere? I was identified as female well before birth - they did a test pre-birth, and and the chromosomes showed I was female. You can't just willy-nilly recategorise people against their will. I was a girl, then a woman, and now I'm supposed to re-identify myself as "assigned female at birth". I don't feel included in that category, therefore it's not inclusive.
It's also dismissive of the female life experience to term being a woman as 'assigned at birth', like my lived experience as a woman is simply a label that was attached at birth, like a wristband.
It's fine to list trans-men, gender non-confirming females or whoever needs to have it spelled out that biologically, they are females, therefore need medical provision and care for females, but women should not be erased under the guise of inclusivity. Because that could have serious medical consequences for a large number of people, not just hurt feelings.
Because if you argue that trans-men won't go for check-ups if they are not listed, then you can argue the same for women. So if women are likely to see this advert, they should be listed, and not be referred to a separate one.