ID: Flirt with the lady.
Completely disregarding her comment about PD for some reason, you decide to lean against the bar. "It's a good hat." You've never flirted with a girl before. You have no idea where to start. The woman's posture changes slightly as she seems like she's been defeated, turning to face you. "Dame, what's going on?"
Before you is none other than Mysterious Socialite, the woman who knows everyone. Working, for some reason? "It's lovely to see you, Dame, believe me, but I wasn't exactly planning on having any visitors tonight." Why is she working? You could have sworn she didn't have a job, she just roams the city being all mysterious and rich and knowing everything.