I'm afraid I think you are going to have to take baby steps, just to see what's normal behaviour for her, and what you can help with......
Obviously, these are just some ideas but The Duke of Edingburgh awards are really good fun if she's outdoory at all.
Dog walking can also be really fun for kids if you don't have a dog (not sure if you do or don't) The Blue Cross can sort out a suitable sdog that needs walking once a week. It's pretty fulfilling, seeing that dog each time you go (they get to know you pretty fast!) but of course, you may not want to take the risk of her becoming attached to a dog that may then be rehomed?
There are also schemes for penpals... I don't know much about them, but my younger DSD has one, and I know parental consent was required, so I'm pretty sure it's a pucker scheme....
You could also get a memory book, and see if she shows any interest in keeping it up to date?
Failing that, if she's creative, Hobby Craft is GREAT!! You can make cards and decorations - every thing really!
I'm afraid I'm no expert, but my elder DSD had a pretty hard time of it between about 8-10. She's 13YO now and enormously happy in her school, with her friends etc., so maybe it's just a phase?