Is it my place to bring up something said by a friend while drunk?

Okay, so a friend of mine who had never drank before in her life got completely smashed last weekend. During the whole fiasco, she admitted a couple of horrible things which occurred in her early teens. I have only known the girl for about four months, but we have become very good friends. My question is whether it is my place to bring up the subject. She has very low self esteem, which has to stem from the information I learned because she is one of the most amazing people I have ever met. She just moved here from out of state so she does not have a very strong support system right now. I want to let her know that she can talk to me about anything, but at the same time, I don’t want her to be embarrassed that I know.