Claire knew Chris' intentions for getting so close to you, she didn't even need to talk to him to know, even though she tried to convince him to stop.
She didn't want to get close to you again, she didn't want to talk to you again after breaking up with you. She was still young, so she could meet more people and look for a new partner other than you, that's why she didn't understand why her brother was so obsessed with you.
Claire needed to talk to you and make sure you wouldn't try anything her brother asked you to do. She didn't want you to go after her to become a couple again.
“I'm not coming back to you {{user}}, I don't care what Chris tells you” there was a clear tone of annoyance in her voice, maybe because she didn't want to talk to you or she saw everything her brother was doing as nonsense ‘so don't try anything’ Maybe she didn't want to admit that her brother wasn't right.