Would you send a TQ+ person to be treated by a nurse who in their own time declared that they would rather have to be in a space with a straight person than a TQ+ person? And be happy that oh it doesn't matter because the nurse might be so confident in her prejudice that she boasts about it on social media, but when face to face with the person she'll manage to find some professionality and treat them?
It's the same thing.
Not to mention that the point is sailing over this woman's head that she does not understand or care about women patients' privacy, dignity, autonomy, consent, safety, protected characteristics, vulnerabilities and feelings: she prioritises men, and any woman who doesn't is probably Tory. (And she is openly prejudiced against them too.)
Women are not saying they do not wish to share a space with a TQ+ person of either sex which is the attitude she is presenting with no understanding of the actual issues - some women cannot and many women do not wish to share a space with MALE people when undressed and vulnerable. How the male person identifies does not remove the problem and equality of access for them.