@Michelle1115 If you host in your home, I think it's odd that you find it annoying for a guest to try to talk to your kids. You have listed a shared home situation. It's normal for a friendly guest to attempt some interaction with the host and their family. If you're uncomfortable with this, you perhaps need to rethink hosting in your home.
Perhaps she's been annoying in other ways you haven't stated, or has a hard time perceiving when someone would rather not talk to her. Or perhaps you and your kids have been giving mixed messages, being friendly, but privately being irritated and seething inside.
I have gone out to dinner with many of my guests. One guy insisted on taking me out to dinner his first night here. He wasn't coming on to me, he was just being nice and generous.
But of course, if you simply don't like this person, there's no need to accept.