Bekki,
It's a great HbA1c, and all power to you. As you get more experienced and confident in diabetes, you'll be able to decide for yourself what sort of targets to aim for for your daughter, and discuss with your team how to get there. If it's affordable for you guys at all, a great tool in managing your daughter's diabetes would be the freestyle Libre. It costs about £100 a month, but you can do it for one or two months at a time, and no startup cost. It means you can keep an eye on her BG without pricking all the time, and in her sleep. Also, you can experiment with how far ahead to inject and what the effect of that is on cutting spikes/keeping BG even and low.
For me, that knowledge has made a real difference. I got control at last.
All power to you as a caring parent. Such a hard job.