I think this is one of the biggest gulfs between ordinary women and trans women
What a peculiar sentence. Trans women aren't some extraordinary kind of woman. They're men. Extraordinary or not is up for debate.
On the topic of doctor hate, I'm getting quite bored of the occasional "tell that to the doctors and their years and years of education" I see pop up on e.g. Twitter.
Those doctors all had to pass exams on anatomy, endocrinology and reproduction. They didn't pass those exams by writing an argumentative essay on the merits of the concept of sex 'assigned at birth' and qualifying everything with 'except some people who appear to be male but want to be seen as female (or vice versa), to which biological facts do not apply'.
If a doctor is telling you you're actually in the process of changing sex, or that you can opt to do so (via hormone levels, surgery, whatever), or that you have a lady brain in a male body - they're a lying piece of shit and I feel sorry for you that you're being so let down by someone who should know better.