I'm not going to make my sister feel welcome staying at my place
I hope you are joking. Do you really mean that?
I feel it would be better for both of us if she left.
Hospitality matters because it feeds the need to feel loved and accepted. By making her feel unwelcome, you risk doing damage to her emotions and causing a rift between you two.
She is the one who's causing problems, she is so mean to me with her words. I don't care!
If the two of you aren't on good terms, wouldn't you think inviting her over and letting her stay for a bit be a perfect opportunity to make up? I'm sure you care about her deep down!