No. She would get worked up during whatever power scheme she had going over time. Once she couldn't control herself and couldn't satisfy herself anymore, she'd grab Billy by the dick and force herself upon him to calm herself down. She'd tell him that it means nothing prior. Of course, Billy being Billy, outlasts her and gets her to pass out during the snu snu leading to unintentional post sex snuggles from her until she wakes up, composes herself, and punches him out of the bed.
This practice would continue as she keeps trying to pretend that her and Billy aren't a thing but they basically are.