Hurt213. You are a good father. Everything you are doing reflects on such. I know it stings really bad to see daughter upset, all in the midst of feeling betrayed, and dealing with your own self worth and maintain your emotions of the situation around the kids. This is just my opinion, and even though i don't know you personally, I can relate in a sense. What you are doing to get through this right now is phenomenal. You are worth something as a man, you are moving forward with morals, values, and principles to be the best father you can be. You are protecting your children. To find an amicable solution on how to co parent, and maintain the moral high ground. Regardless of another person's betrayal, and issues. As far as maintaining boundaries with co parenting, for someone like myself who talks too much. I'm starting to realise silence is golden from what everyone is teaching me here, and less is more.
Try expressing your intentions to the WW on the sake of the kids, and leave it at that. If the WW crosses one of your moral boundaries, whether it pertains to you or your children, address it immediately. If you cannot address it immediately, write it down and plan a response for any future offence, and what the consequences will be if it occurs again, and be prepared to follow through with it. There really is no reason to add lib to a WW of your feelings of how she has treated you, and that you want nothing to do with her. It wouldnt have any impact other than to temporarily help you vent. If she gave two $h!ts about your feelings, she obviously wouldn't have commited these acts in the first place. It is up to you now, and your responsibility to deal with those feelings of betrayal and work through them and try to heal., what I'm trying to say in short is less is more.