Daughter doesn’t want to live with me ?

So a few nights ago I posted on here about my daughter wanting to live with her father we have been divorced now for about 9 years and our daughter is going to high school in about 6 months, she is 13, well she told them that she and I just scream and argue with each other all the time while she is here and that is the reason she wants to live with her father. The thing is that is not true she comes to my house stays on the phone with her boyfriend, doesn’t really do many chores and has me bring her food and drinks and we talk and I lay and watch tv with her things like that. I thought what was just a normal relationship. Occasionally I’ll yell at her if given a reason but definitely not the way she is portraying things. So I told her this a few days ago that it’s one thing to want to live with her dad but it’s another to lie about me. She started screaming at me( she was at his house at that time) and I told her she was not going to scream at me or talk to me like that. Eventually we got off the phone and I talked with her dad. He was in full support of her and believes every single thing she says and says maybe she should just stay with him until she and I can possibly see a counselor and work out our feelings and communicate better. I told him our daughter has caused a conflict with me in order to get what she wants which is live with her dad and be closer to her friends/boyfriend and other things but overall her agrees with her. So now I haven’t spoken to my daughter again and I feel like she is literally being taken away from me and I just really do not know how to handle this especially when it all honestly just came out of the blue.