Because OP didn't sit down with DD, have a calm chat,c say this isn't working and as you're an adult now I think we'd both be happier and get along better if you moved out. She tells her DD to come to her if there's a problem, then lashes out when DD does come to her because OP can't stand being around anyone at the moment, taking out her feelings on her DD and probably called her a bunch of names and yelled at her to get out etc. The OP admits she's emotionally abusive and yes she does sound like it.
I agree with PP about DD is probably so terrified of getting things wrong she doesn't know what to do. May also have stopped paying rent because she's started saving to move out or is trying to drown her sorrows with drink or something. Maybe DD has lost her job and too scared to say. Who knows. OP didn't try to find out just went off in one.
Personally I think any family counselling is for the future. How many times do we tell women on here: don't have counselling with your abuser. That doesn't suddenly change if the abuser is the parent. DD could use some counselling I'm sure, but solo. And OP sounds totally strung out, at the end of her tether, she needs to be able to breathe for a bit and calm herself down before she starts trying to repair her relationship with others. I'm not sure DD could really be in a situation of trying to get along better with her mum when she knows that the situation is: do as mum wants (even if that changes every ten seconds) or mum will kick off. I don't see how DD can have an effective joint counselling session while she still lives with OP in that dynamic.
Incidentally OP, you're not going to repair the relationship by asking your DD to learn more about your MH. That's not you repairing things, that's you expecting DD to repair things by just accepting it. It would be useful if DD is willing to learn more so she understands you better, but it should come at a later point as a separate issue.
I hope you can find the help you need sooner rather than later. You must be going through hell right now.