I think that other people who have taken their children out of school to HE, after there have been problems at school, tend to suggest that they need at least a month for every year they were in school to just de-school (unschool?). So, on that basis, she would need a good 4 months with absolutely no pressure at all to do anything, just to "get over" some of the hurt and confusion and whatever else emotions the problems have brought up in her.
To you, it probably seems a long time since May, and you'd think she'd be ready to get started into it again, but from what I've heard elsewhere it's very normal for them to take a long time to deal with it, and be very resistant to anything which looks like schoolwork.
Is anyone like the LEA hassling you to start showing them results? If so, there are people on here who can help you with how to respond to them, to get them off your back for a while without setting off any worries.
If it's just that you were expecting to be "doing things" by now, specially when it was ok at first, I'd suggest really just totally easing off. Maybe there are other interesting and useful things she could be doing, which are not at all like schoolwork? Documentaries, gardening, nature walks? Not sure your daughter's age or interests, but she could be doing stuff which she likes until she's ready to do more formal stuff again.
I hope that makes some kind of sense - I haven't really been through it myself as although DS is now HE he is nearly 15 and didn't have problems at school so it was different for us. But, in the absence of those with personal experience, I know this is the kind of thing they've told other people in this situation!