Giselle would never throw anyone out, unless of course it was a troll or some kind of other evil doer. Jack didn't look like either, and if he was bad, he never would have gotten in here. Giselle was confident in Peter and Katara's judgment.
"No, it's not my room." Giselle said. "Though I guess it might as well be with all the time I spend in here. It's great to meet you, Jack." She told him. "Are you hungry?" She indicated the food she'd already prepared.