I dated a girl like that once and I have some advice for you. She might say these things now and act like that but you need to think about what could happen in the long run. She could try to make you do things you never wanted to do before. Try to take control of your life, force you to only do what she wants. Wanna know what happens if you do what she wants? She either threatens to cut, cuts, pretends to cut to make you feel bad, tries to overdose on pills or threatens to or pretends to etc... Look. Take a good long look at her. If you see even a twinge of psycho-possessive, you drop her. Immediately. However, if all she wanted was to be yours. Then give it a shot