tbh she is acting pretty shameless
first of all, it's totally understandable if he refuses to let her stay.
but also she's not presenting herself in the best light.
she doesn't seem that thankful that he saved her and let her stay at his home, she keeps being on the defensive when he points out mistakes she did, ...
she should first acknoledge what she did wrong, present the situation, tell him what she wants to do, why it's so important to her that she does that and then ask if she can stay
being like, 'uh well, can i stay a tiny bit longer ?' doesn't make me want to have you stay
basically, from his point of view, i'd be like 'get out of here, this is not my problem'