I've found myself in this predicament more than once in my life. It's made me question friendships.
If you can be friends with her, how can you be friends with me?!
If you want to spend your time with someone like that, how can you also want to spend time with me?!
If you can survive an entire conversation over dinner with this person without wanting to plug your ears up with your napkin, what does that say about me??
And I'm sure I've had friends who meet some of mine and think, GAH, never would I ever be her friend!
So what do you do in this type of situation?