You have to be consistent in what you do. You probably want to warm up to her slowly, so she knows you meant what you did.
But, don't be offended if she makes you feel like you are using her, smothering her. If you do get offended, you are confirming what she is accusing you of, and she subconsciously picks up on it. When you don't get offended by it, it shows what she is offended by isn't real, so there is no reason for her feeling this way, therefore it shouldn't bother you. If you really loved her it would be hard for you to be offended by her.