There's multiple things going on, beyond the medical privacy thing. If someone comes in and 4 years from now drives in to a grocery store, then it turns out they had 'mental illness' from 10 years ago, heads will roll. Beyond privacy, this seems very much like an overzealous "no tolerance" reading of "mentally ill people can't come in the country" (because, of course we don't have any here already, right?).
But... come on. She is a paraplegic - this is not someone who is a threat to the safety of others. Or... to the extent she's a threat, she's s a threat whether she's on US soil or not (ability to organize violent/terrorism from abroad via the internet).