You keep attracting married men because you are sending the message that you are open and willing to deal with their BS. You are right in that a man that is separated is still a married man. Men will approach you when they feel you are an easy target.

Why does a married man keep flirting with me?

1. What does it mean when a married man flirts? When a married man flirts with you it means he is not really interested in a serious relationship. He finds you attractive, would like to spend time with you and if you are willing to get into a physical relationship with him he will be more than happy.