tbf i've seen a lot of posts criticizing women who specifically write "no trans women" in their profiles on dating sites, so i can definitely see a lot of bi women and lesbians whose political ideologies are influenced by tumblr refusing to date/breaking up with someone who admits they're not attracted to trans people, or making a big deal about finding out their partner feels this way, even if it's only mentioned politely and in a situation where it's absolutely relevant.
so yea, if it happens, you should probably be more concerned about the fact you're dating an idiot who lets tumblr define their beliefs.