"There are people in the kitchen." Which isn't an answer to her having food, exactly. But her plate of food suggests she has food. She'll sit with him, a living breathing person is better able to tell anyone who can't see her to sit somewhere else. She starts eating, not seemingly aware that 'eating without sharing' is rude.

It takes her a few minutes to realize what he might actually want with the question he asked. She looks somewhat apologetic, "It doesn't work like that."