I'm sorry but @Twatalert is bang on the money here (again!).
8yos do not get diagnosed with personality disorders, no. It's not something that's diagnosed until adulthood. But you shouldn't be pathologising your child, and nor should anyone else. As I said, I was first taken to a shrink at the age of 4 for behaviours that were seen as consistent with various diagnosable MH disorders - but, in fact, were a perfectly reasonable response to the shit going on at home. And we're not talking "major" shit here, either. Just things like parental arguments and having parents who weren't emotionally attuned to me. The kind of things that you would probably count as "not being traumatic enough" to develop problems, tbh! But I was a sensitive kid, I guess. And there is no "threshold" for trauma. The same event will affect two different people in totally different ways. Trauma isn't about the "what happened"; it's about the "how did it affect you, and how were you helped?" In my case, Dad was fairly absent, and Mum didn't know how to deal with me, so she took me to psych professionals and got me diagnosed with stuff.
I understand that you are struggling, and I'm sorry. But I would think very, very carefully before getting your child diagnosed with anything (including ADHD). I know it's all very "in vogue" at the moment, but take it from an adult who was diagnosed at a young age. It makes kids think there's something wrong with them, when there isn't; they're reacting to a difficult home situation. Whether you deem the things happening at home "traumatic" or not is by the by, tbh.
I think you need to get some help, though. Because it sounds like a shit situation and you're struggling. And that is affecting your child. Yes, you do need to do the things you identified in your post: stop caring about being liked, stop being terrified of being alone, all that stuff. But it's so much easier said than done. Which is why I would recommend you seek help for yourself, and not pathologise your kid.
I say this with love. And also, a lot of experience. You don't want your kid to look back when she's an adult and be like "fucking hell, mum, thanks for making me think I was mental when actually, you should've taken me out of that situation." I love my mum, but God, she made some bad decisions.