AITAH for saying wouldn’t date a “male lesbian”

Hi I recently went to a gay bar and I (24f) got approached by a 20something trans man. He wanted to take me out and get my number but I said I don’t date guys I prefer women and he shot back with I’m a lesbian..? I was confused so I asked him his pronouns and everything and we ended up getting in an argument about how that basically contradicts itself and invalidates him. Am I the asshole here cause honestly I’m just confused as hell. He told me I was a dick for not being more open minded and stormed off. Never got his number lol. Anyway lmk