I'm not quite clear from your post what is distressing you most. Your dd objectively seems to be doing ok, she does hobbies, riding and football, presumably has friend through those, isn't into make-up but that's ok. She doesn't seem completely isolated at all.
Is it her unhappiness? Is it that she is being bullied? Personally I think the bullying is the worst thing in her life for her, this will be making her very unhappy- so can you really tackle this on her behalf, with the school, read books like' Bullies, Big-Mouths and So-called Friends' and basically be her mother tiger in this situation?
You sound quite depressed and down yourself, could it be that you are seeing the glass half empty yourself? If this is the case, then perhaps seeking help yourself rather than ploughing more help into her (she has a counsellor, if that one doesn't suit, perhaps move her).
This is the age for moodiness, 'I hate myself' statements and so forth and it is wearing and difficult not to take personally. But I think your role is to stay steady, be the rock here, and to show her that whatever she is like and whatever happens, you are there for her. I know it's hard though!
It also sounds like you have lost your connection with her, and again, I think this is quite normal if very hard at this age, it's their age to move away from you as the source of all, and to seek the advice of friends/others. It may be worth trying love bombing- I've done it with one of mine, and it does really work, but it does also mean accepting what they want to do and where they are at, and letting go of some idealised mother-daughter relationship.
I also found the book 'Raising Girls' quite a good read, basically it talks about getting a team of supporters (other adults, relatives, older children, scout leaders, teachers) around your child so it is not all on you. This is very good advice, as they then get positive feedback from other adults about how great they are- so the football leader/riding instructor may play this role, and you can encourage others.