So in one post you say he's never done anything untrustworthy, and in another you say he shared your conversation with his ex. That, by my definition, is untrustworthy. But, you get to make your own definitions for your own life. "Sexual references" is pretty vague, so I don't know (or want to know) what that means. You are asking us if that is hurtful. Is it hurtful to you? Are you willing to accept it?
L