It sounds like she is angry and unsure about something, is it just your coming out, or perhaps you living out of the home, or is that not a new situation?
10 is a difficult age for some girls, my eldest is going through puberty at this time and she is definitely more moody and could pick a fight in a room on her own, so it may not just be about you, but the world in general.
What is your relationship like with her dad? Could you ask him what is going on? Is she getting negative messages from him?
The thing about hair extensions and wearing a dress- it's rude, but again I would say typical for that age. My dd's say things like 'can't you wear a colourful outfit' when I get out my black dress.
I'm not saying it's not all about your identity, that may well be a very significant part of it, but there are lots of things swirling here and main problem is the loss of connection with your dd overall- so the focus could be on getting that back and re-establishing talking, so if she does have an issue with that she can talk with you. I don't do love bombing properly, but I think having time together, focused on her and meeting her needs, and just sitting/lying around chatting can help.