I think at that age, you can not do that much as a parent, unless she specifically asks you.
I know everyone is different, and has thier own story, but I remember clearly being that age, and being lonely ( I would often hide in the loos until the end of break time).
My parents, bless them, thought I was great and independent and not a sheep. They aproved of me not being into make up or clothes, or shallow things like that. I was not allowed to watch top of the pops or any show the other kids watched. My parents are kindly left wing intellectuals, who raised me gender neutral ( no barbies etc.).
The fact is though, that deep deep inside I did not want to be with Greenpeace and write letters for Amnesty. I wanted to use make up, try to look pretty and have a good haircut. I would ahve wept with gratitude if anyone would ahve taken me to Toni and Guy. Reality was I had my hair in a braid, and was bookish ( partly because it is a good thing to do when you are alone).
My parents would have said I was happy and fine. I would have agreed, and copied their disdain of pop culture and shallowness of beauty.
But. In a way I was like this because of, and so as not to rock the boat, with my parents.
At around 14 I learned to lie and fake it. I would pretend having seen top of the pops, by listening to other kids and repeating what they said. I remember being caught out when I referred to the Pet Shop Boys as " all those guys on their guitars" haha. But even trying to fit in a bit more meant I became accepted. And after that ( and secrettly applying eye shaddow om the way to school) it was easier. I would ahve been mortified if my mum had stormed into the school to sort out the bullying though!
Teens are very conformist. It takes a strong person to stand out from the crowd. I am not saying your daughter should conform, but if she is going to be her own person, she has to find out her stengths and interests. I know quite a few girls who are not into fashion and beauty, one of them is a karate black belt though, and another does judo.
Personally, I think she may have to try a few things, like martial arts ( fab for self esteem, self defence, for anyone really) or chess, or climbing, or something. If she makes friends outside the school, she will find life at school easier as well.