I guess this may show how different attitudes are in the USA, or maybe how much difference it makes if one completed ones transition a long time ago and while young... because when I came to apply for medical school in the UK to train as a doctor I got four straight unconditional offers from four topline medical schools, and that was as an older student too, so it wasnt like I was star performing student in other respects either.
Interesting this year I potentially had the opportunity to attend an american medical school which has a partnership with our school, but I decided against it.
I think one has to be careful though about generalising - many people fail the interviews for medicine and nursing for all sorts of strange reasons and it may just be that for some reason this girl doesnt come across in the right way and it may actually be not because she is trans at all. As they rarely tell you why you are not accepted, when you have an obvious quality like being trans its very easy to assume that repeated rejections are always "because of the obvious" whereas the truth is she may have showed some other quality they didnt like which was less obvious to her.
Just playing devils advocate here.