But that's what a confident, intelligent woman does. She fights the system when necessary. For justice. And I have to believe that Babs (pretty focused on justice) if she was allowed to be Babs, could do just that. She was Batgirl. She was the youngest Congresswoman. She became Oracle.
Women (and other brave people) who are discriminated against have been doing that for a long time. What kind of a message does it send if she doesn't even try?
But I get that she can't do that, because for the story, it has to be about her getting a man to accept her.