Book for 13 year old girl

At 13 she'll have developed her preferences. You really need to know what she's interested in.

Well, she likes music, make up, fashion and is actually quite mature for her age.
But I'm trying to find some good quality fiction for her.

You could try putting the question in a Google search as I found lots of suggestions came up so you could research those for something that matches your request.

It's the good quality that's the rub, isn't it? Like adult fiction, there's not much out there, in contemporary fiction. It's all a bit dumbed down to what will sell the most.

I know most about fantasy and historical stuff but it doesn't sound like her thing. ?

Check out books by Melissa Bashardoust.

My 13 year old granddaughter likes all the books by Jacqueline Wilson especially now she is old enough to read the more mature ones. They tackle social and emotional issues that can broaden horizons. I wouldn't know if they qualify for " good quality".