Well, if she won't put out, maybe she will go in.. "That's all right" [no it isn't, but...] "Perhaps a little vore will be more to your taste."
She hesitates, on the edge of saying no, so you decide to improve the offer.
"You can eat me 1st."
A bit of danger, but the house rules are no digestion, and while being inside is not your thing, it would be worth it to get her as your meal.
Lizzy buries her face in her hands. "But I can't. I've never vored anyone."
?? But then what is she doing here?
Well, who really cares? You can still eat her.
