She does care... Whether she will allow you or even her self to realize it is another issue.

She's wounded. She's not rational. She is grasping to her decision with everything she has because she sees it as her only means of holding onto her sanity. She has been conflicted and uncertain and afraid for so long, and the only way she can figure out to deal with it is to make a decision to quit. Maybe it's not right, maybe it won't make her happy, but in her view making a firm decision is the only way she can stop the fear and confusion.

Does that mean hope is lost? No. But you have to accept that many women in this position cling to their decision so tightly that they will never give it up. In the end, the only way she's going to come back to you is to choose to do so. Not your choice, hers. That's her issue to decide. I'd love to say there is a way you can get her to do it, but there isn't. The best you can do is work on yourself with no expectations. Make yourself an attractive choice. Hold yourself together. Let her go. Surrender. She may be back, she may not. And it sucks to say this, but that's life, and it's rarely fair. Once you get to a place where you can truly accept that you can't control her, you'll be a lot better off and you might even start to be an attractive option to her. But getting to that place is hard...