Ignoring someone who is making small talk with you is just plain rude! Doing it to your boss is really immature and won't get you far. If you think she said something, instead of acting like a teenager, why don't you just ask her? Gosh I want to feel bad for you but I feel bad for your boss. I can't believe how offended I'd be if someone I was talking to was just ignoring me and not engaging, that's just cruel. No excuse.
Killing puppies is cruel, abusing children is cruel, choosing not to speak to someone is not. Please, let's gain some perspective here. Btw, not engaging and ignoring are also 2 different things. I keep my conversations with her short and respectful. She has no right to demand that I be her friend, and I have every right to choose not to. I think I could be nicer at times, I've admitted to that already. Also, I wasn't looking for a tea and sympathy fest so feeling bad for me is unnecessary, but thanks for trying. I'm not stupid, and I wouldn't do anything to endanger my job.