No, I don't think she is trying to make you back off. I think she is trying to maintain the status quo -- she is invulnerable, and you are kissing her @$$. Perfect situation. Why change it?
But for you, it's not perfect. It [censored]. So you need to change it. You need to become the mystery man. You know, the lawyer you are trying to reach, but he is so wrapped up in a case you can't get him? You need to show her that you have a life. You've been telling her that. But you haven't been showing her that, and that is the danger pursuing. You've said your piece. Several times. So walk away. Get busy. Defend that guy. Let her feel the need for you.
I don't remember if you have broken the sexual drought with her yet. I'd say your goal should be to get back to lovemaking, not getting her to move in. Sex can break down fortress walls.