I genuinely wish I had a charisma answer for you but since Mass Effect works on Magic Good Person Or Mean Person Points, and her Magic Good Person Points are out of this proverbial world, we can assume her schmooze level is of general galactic renown. Doesn't much help if the dice don't roll that way, but you get the picture. Her demeanor is friendly, approachable, and genuinely leaning towards honest curiosity and idle banter. Each conversation is customized for the person she undertakes it with, chattering about travel, space, trade, and otherwise.

When the older man hesitates, she doesn't push, per say—she actually lets it go. But she works the conversation back around to it—maybe even gets him to go out drinking/etc with her, if any of his sort of vice is available for participation. Just chatter between two people, right? Nothing serious. They're both outsiders, right? She just needs to learn the way of things—if only he'd tell her about them.

For now, she doesn't push. Paragon Schmooze conversation options are in full effect.