I am having some health issues and unable to see my PCP. So I took the next available appointment with "Dr. Smith". It turns out that Dr. Smith is a They/Them.
It is hard for me to take these people seriously in any context, but especially one where they are making important decisions that impact my life and health. I know that many of them are intellectually smart, they are just brainwashed / captured and may have helpful medical advice. Rescheduling is not an option.
For me I think I'd only see that person if I had no other options or if she came extremely highly recommended by someone who's reasoning I trust. And I say "she" bc I'd be way more wary of a man who called himself nonbinary.
In general I think I'd just have trouble taking that person and her reasoning seriously. I've also never heard a justification for "I'm nonbinary" that wasn't sexist as fuck. So I'd try to stay away, but I guess it isn't a completely hard line for me.