Just out of curiosity. Has she been tested for anything.
Sounds like my daughter at that age. She will find her tribe, eventually. The friends my daughter started in secondary, changed to people she hadn't known before to an even different group by the end. As you find yourself, you find people similar to you. She did a lot of activities, team sports, is a good one, as it's a team, and there is no "I" in it. So you have to communicate as one and there is then a bond built. So I would tell her, to bite the bullet and go alone to any or all clubs to see what she likes, forget about what others think. Most clubs, the teachers mix and match you about with similar people. I am very much of the elk, that if you don't want to try something as you think you won't enjoy it, do it anyway as you might be surprised. I instilled that in my kids from a very young age. Fear is a feeling, that passes, you just gotta be brave. Failure isn't bad, not to attempt it for the fear of failure, is. No one rides a bike on the first go, or learns to walk, takes a lot of falling over/off.
Her school also moved the classes about each term, if you were failing, you moved down a class, excelling, moved up, so lessons and children, were not always the same, so you ended up sitting next to different people each term, which also helped her. She ended up with like. Indeed people in relation to studying etc.
My daughter at the age of 17, was diagnosed with ADHD, as girls carry if very difficulty to boys, trouble keeping friends, stressing, feeling awkward socially, we're all signs, but we never connected the dots.
Her friendship group now, all have their own quirks, ADHd, Bi-polar, autistic, dyslexic. It's a right old bunch, but they have an understanding of being different, so don't take others quirks to heart. My daughter has a fast mouth, where brain does not engage with mouth, so she has said it, when in reality, she wishes she hadn't, or even realised she had. So her friends don't take it to heart as they know she didn't mean it, nor does she them. They are now out there loving life. Being different isn't always a bad thing.
I wish her luck on finding her tribe.