You actually need to read and take advice from some of these responses, because quite frankly, some of the stuff that is covered by posters here, are the only viable options you have. So calm down, thinking practically and try some of the following.
Oh, and the chances of her being taken into care are absolutely miniscule. She is refusing school and staying at home, rather than truanting and cruising estates on the rob.
Right;
Get in touch with the Education Welfare Officer attached to her school. Also see if someone from the school (EWO, Head, Head of Year etc) will visit her at home.
There is a lot of assumption that she is being bullied but it could literally be anything. If she won't talk to you or the school, does she have any friends that she might be able to have round to the house to spend time with?
Failing this, pass her the phone and the number for Childline (or Samaritans) She needs someone to talk to in confidence, with time to breath and think and no worry of repercussions. Family GP may be useful here as well, they may offer a home visit. It might be worthwhile requesting a CAHMS referral which may do the world of good.
Stop being angry. It's frustrating, but your anger will only cause her to become more reclusive around you. Ask her to join you for family meals, watch the tv together and ask her how she's feeling. If she is despondent or giving muted responses then just accept that and keep on. With patience this should get better. Try a heart to heart when she becomes more responsive and reassure her you are safe to talk to and want to look after her.
If you try these, then you will get somewhere. If you choose to ignore it, then it won't get any better.