No, I have used “a” haircuts for male characters and “b” ones for female and have never seen this mess up pronouns. Did you definitely not accidentally select the female identity during character creation, which is the only reason why a male-bodied character should be referred to as “she”?

"You may call it 'nonsense' if you like, but I've heard nonsense, compared with which that would be as sensible as a dictionary!"