I really do understand your feeling invalidated by her response, and how much that hurts. Lashing out in anger is exactly what a hurt young child would do, so feeling that makes sense. Of course, you know you would never act out that way in reality, so it is a good thing to share.
But I am curious about your response: after seeing she appeared sad or concerned viewing your drawing, you asked her if she wanted to save you. That's a rather manipulative thing to ask. It's a variation of the asking if she cares about you. It was a test. And she really had no way to respond that would be healthy for you. If she had said, "Yes, I feel like I want to save you" then she is feeding a transference in a way that is overwhelming and unhelpful, and engaging in a power play with you (remember she said she wouldn't play that game). If she responded as she did, you feel invalidated. Testing never works out well, in therapy or life; it alienates people and leaves you stuck. The more honest you are with her, the more honest she can be with you.