I think my D13 will get to a place where she is not angry but will not want to be in a Mother/daughter R with her mom. I think that my W will have to "own up" to what she has done and apologize to my D13 but if my W does that then that would be a major piece to the mending of our R.
I from own experience do not agree with you here. As your D13 matures she will make peace with her mother and they will have there own relationship. My D23 had a very similar time with her mother when she was between 13-16. It was always causing problems in our household. I naievely chalked it up to hormones. Both my W and my D and this caused strain on my M at that point in time but we survived it. My D23 turns out to be bipolar, W is depressed(MLC) but their R now is better than when she was a teen. D23 still has issues, but she has matured and become an adult that is responsible for her self. I can only say that you are indeed laying the template for what is to come. Just keep being the best dad you can be.
I am gathering that D13 IC session didn't go entirely as planned.