I agree she would be more attracted to someone who is a warrior and a fighter, because that's the lifestyle she knows. And that's proved true of her in many different boyfriends over the years. Steve Trevor. Tom Tressor. (Wasn't Trevor whatsisname, her African-American would-be flame, a security expert for the UN?) People from a military or intelligence background. From a warrior culture, she would understand that type of person. I would submit that Batman is not military enough, though. She would be attracted to a Thor (who's a warrior) or a Captain America (who's a soldier) but not as much a lone vigilante, no matter how disciplined. And I would submit they needn't be equals, even in that regard, just on the same page and with the same ideals.