Don't read anything into the downvotes, they don't mean much here and your question is a good one.
My understanding is that the preferred term these days is AMAB: "Assigned Male At Birth". That implies the 'male' part is contentious without getting too in-depth about a stranger's underpants parts.
Gender dysphoria is unhappiness with your assigned gender not matching your actual one, so if you have dysphoria and you are AMAB, you could be a woman, or intersex, or agender or just questioning.
It's best to ask if it comes up, which it probably won't because trans folks are rare and the "trap" scenario OP describes basically doesn't happen. Not to call anyone a liar of course.