doin, I think your last post sounds a bit stronger. Are you feeling a bit stronger?
Taking her stuff to her dad's tomorrow sounds like a really good idea. It is v stressful to have an Ex around undermining you and usually a real disadvantage, but in this particular situation it might be an advantage. You can say to him "Yes, everything you say is right: I'm a crap mum, so I'm handing over to you now. Bye."
It is important, though, that you don't actually believe the bit about being a crap mum! You are not a crap mum: I have seen some of your previous posts. It's clear that you are usually very caring, thoughtful, supportive and loving towards your DD. You have just reached breaking point. You need rest and help, and you need to find your strength and resilience again.
I'm another person who has had counselling and found it really helped. Ask your GP to refer you. But meantime, talk to a friend, or give Parentline a ring on 0808 800 2222 - they're open 7am-midnight.
And by the way, your mental health is a different issue: if you are depressed, then that is all the more reason you need support; and if you're not, you may be soon, if you don't get it. Your Ex is trying to use it against you, and he's effectively saying "You're depressed and not coping, but I'm still not going to help". What a dick! Don't let him make you feel bad...
By the way, I threw my son out twice earlier this year, because he had behaved so badly and I was so angry with him. I'll tell you about it sometime if you like. But you are not the only one who's felt like she couldn't stand living with her teen any more...
You can get through this. You are stronger than you think.