I think I've mentioned this before, but while I can see it as Babs being gay or bi, my first thought is that her relationship with Dinah and her trying to pick up Helena here are the product of her having pretty much no female friends/relationships of any kind at this point in her life.
Even here, in this random weirdo may-not-even-be-canon scene, Babs is surrounded by male colleagues. That "I'll try to act girly" line especially ties into that theory. I mean, it could work as her attempt at a pick-up line, but it also reads like "omg it's a girl! I can haz friend?" to me.