Okay, my suggestion is going to be pull back, don't be so available to her, and give her what she wants. Her space. Don't jump for every opportunity to meet her, 'make plans'. That's what I'm thinking... but someone else may come up with something better.
She's obviously uncomfortable with this new development. Doesn't know how to respond, this often pushes them away further, so be very leery, and I won't call her any pet names. Only her name, it's a sign of respect.
I understand that your gesture was a good will gesture, but you're not giving her the opportunity to be 'miss you' yet, either. I think what you did was very sweet and caring, I do, but I can tell by her response, she thinks you're just out to win her over, and she's dead set now on proving that it's not going to work.
Remember when I said, sometimes they fight harder. Well, when someone makes a change, sometimes the other person acts up even more, digs in their heels even tighter, because they are set in their mind thinking that no change is going to happen and when something does happen, they resist it. So, you have to weather this one out. And I think, if she wants to take the lead, you let her.