I am more than her mother

I really hurt my daughter last night, unknowingly. She eavesdropped on a conversation between my friend and I and overheard somethings about me that she shouldn't have. She is very hurt and upset that I do things that mom's shouldn't do. How do I help her understand that I am her mother first but I am also just a single, older woman with needs, wants and desires of my own. I wish she would be a little more open and understanding but I failed her in that respect. I don't know how or why she is so uptight. None of my other kids are like that. I am not sure how to help her right now and it is killing me. I invited her out sailing with me on Sunday, He is taking his daughter also and it would be good fun for us. But she hates him and me now, so I am not sure what to do about it.