I'm not sure. While Alysis is attractive enough and is a total badass, she's spent the IIRC little over a month she's been here training Vincent, training herself, hanging out with Nicola and William, and kicking ass. Not much time to establish herself on the social scene, though that would probably depend on what she's been up to with Nicola and William. She did manage to win her bet with William, so while she's likely well-known, I wouldn't necessarily say [I]popular[/I]. 

She would fit the Lovable Alpha Bitch trope pretty well, though.