In the end, I'm not sure how I can help to bring down her resistance to group learning... it all seems impossibly complicated.
It seems obvious from your other comments that everyone is learning in the group but her. For your DD, it's a bit like being trapped in the fast line behind 40mph traffic.
And the solution is, find a group that learns at (or at least near) her speed. That may be placing her in a group of kids that learns as quickly as she does, or it may be placing her in a group at an activity that doesn't come so easily to her, like gymnastics.
In other words, it's not group learning that's the problem... it's the group.
