Somehow, that's less cutting than the question was. It's him lashing out; it means something, but it doesn't mean everything. Not like demanding to know if she expects him to turn does.

"I'm gonna get you something to eat." She starts getting up only after she's explained that much. How do I know you're going to stay here if I leave? she wants to ask, but he's contrary enough that it'd probably just encourage him to sneak out. "Tea and groats."

And if he wants to sulk in the meanwhile, he's welcome to. He has to deal with being sick--being quarantined--in his own way.