Don't give anyone more information about yourself than you are willing to have potentially used against you if the wrong person manages to get their hands on your application.
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i wouldn't tell them that no. no matter where you go there will be a population of transphobes, and you dont want your application to be rejected because you got unlucky to have one of them in the process. it can happen even in the best places sadly.
There are transphobes everywhere and potentially giving one of them power over where you move isn't smart.
I'm not trans, but I'm in Waterloo, Ontario, Canada and know a few trans people peripherally, and see more I don't know around town. So at the very least it's safe enough for people to be out and about just casually hanging with friends. We have the University of Waterloo (UW, but not University of Washington), and it has well-regarded math, CS, software engineering programs, at least around here.
Just an option I figured I'd mention.
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