OP, I've been through something very similar and the school were amazing - does yours have a pastoral support person who can give your daughter some one on one time? That really helped my DC to have half an hour each week to talk to someone who they didn't have to worry about upsetting, and who was removed from their home life.
You've done the right thing, as scared and vulnerable as you feel right now. You've been incredibly brave, but you're going to have to keep that up now for a while until things settle back down. The thing to remember is that your daughter needs you to be there, be reliable, to keep soldiering on for her. She must feel very unsettled, but seeing you being there at the school gates every day will help her. You'll always put her first - you've shown that - and you have to back it up not just with what you say, but what you do. You must be an incredibly strong woman to have phoned the Police first time this happened - most women don't.
If possible, could you ask the officer dealing with your case to put you in touch with a local domestic violence charity? They can offer counselling, practical support, even just someone to hand you tissues when you need to sob for an hour or two.
I promise you it will pass, all of this. And most people won't gossip or pity you. They might share the story, but people can be so incredibly kind when you don't expect them to be. Sending you huge hugs - I've been exactly where you are now, and it is so hard. But if I got through it, so can you (doesn't mean I didn't cry my own bodyweight of tears at times though, and wail 'I can't do this!' quite a lot).