I'm not a psychiatrist, but I think you have big problems ahead, if she has the personality to say that to you. If she cares about your wellbeing, and that's why she said it, it's STILL the wrong way to go about it. She should have talked openly with you, and said she doesn't want you to get hurt, or whatever she's afraid of, and talked about it.... Not make an ultimatum (or threat). Again, don't make any decisions based on my thoughts, but I'd do a lot of thinking if I were in your shoes. I've been in a relationship with a "controller".
Charles