If she wasn't craving wheaty type carbs before, then there's a good chance its related to the reduction in sugar rather than a craving for gluten.
I know as someone who has suffered from depression myself, I definitely crave simple carbs and sugar as a form of self-medication - it could well be that your dd is doing similar.
In my own experience - which admittedly is limited to just ds1 - he was craving gluten first and foremost, but also had an underlying sugar/carb addiction shown by his continued cravings even for gf foods. When we removed gluten from his diet at the age of 7 he started producing solid stools for the first time in his life and suddenly started to grow. The rash he had always had on both cheeks also disappeared.
Prior to removing gluten, he wouldn't need a new pair of school shoes or uniform for a whole school year. The term we removed gluten, he went up two shoe sizes and whole uniform size. So that was a pretty clear indicator for us. He didn't test positive for coeliacs, but was ill with winter vomiting virus just before the test and didn't eat much of anything for over a week, so may not have had enough gluten in his system at the time of the test. The paed and dietician both agreed he should be kept gf based on the weight/growth improvement and resolution of his dietary distress.
Other than weight and growth, we did notice an improvement in ds1 when he first went gf. Hard to describe, but since being gf, its like he is more with us - more in this world, iyswim. We can tell pretty much straight away if he has been glutened these days as he looks poorly very quickly, gets a bad stomach almost straight away and the rash reappears on his cheeks.
He suffers from severe anxiety and has a tendency towards depression and I do believe he still craves carbs as a form of self-medication. We allow him a small carefully chosen snack/cake at lunch time and another when he gets home from school, but sweets are a rare treat.
Could you perhaps try introducing home baked 'sweet treats' and see if that helps to diminish the cravings?
You could try using honey or agave syrup as an alternative to refined sugars and see if that helps - flapjacks and fruit bars are always good and you can add loads of dried fruit to them, upping the natural sugar content even more. Other alternatives are banana loaf made with wholemeal flour, tea loaf/brack with lots of dried fruit soaked in fruit juice rather than tea. Fruit of course provides another form of sugar, so will go some way to mitigating the cravings. Especially fruit like banana and grapes. There are natural sugars in natural yoghurt as well - mine love natural yoghurt with added berries - another good source of natural sugar.
Sugar is sugar at the end of the day, but its the refined white sugar that's the worst. Not to mention the sheer quanitity of it in modern sweets and commercial cakes.