Childhood diabetes (T1 unless your daughter is obese) is generally pretty fast onset. Extreme thirst, possible bed wetting, weight loss are likely symptoms. And bg readings end up in the teens and 20s (and even higher though you're usually in hospital by then),
Disclaimer : we are not doctors and cannot and should not diagnose on here
So while I applaud your desire to make sure that your child isn't one of those undiagnosed diabetics who get a far too late diagnosis via A&E, none of her symptoms scream diabetes to me, and the bg level is is the normal range (though a single reading means pretty well nothing). (That doesn't mean she hasn't got diabetes, you should take her to your doctor who can do meaningful blood tests if you're worried, and if she keeps getting her current symptoms you'll want to do that to get a diagnosis of whatever it is she does have.)
As the T1 daughter of a T1 mother I've always been a little paranoid about my kids and T1. So whenever I felt suspicious I used to get out my trusty tub of urine testing strips that I'd bought from the chemist. They show sugar if your blood sugar is above 10 for any length of time, which I always figured was early enough to visit the GP for a blood test. (I'll happily accept correction on this from parents who actually have T1 kids
).
T1 can develop at any age, so no matter how many tests you do you can never say that she won't have T1 next year, just that she probably doesn't have it now.
But you know your child. If you're worried about her health, take her to the doctor. They'll do an hba1c test (measures how her sugar levels have been for the last 3 months) if they think it's relevant. They'll also be able to test for other things that could be going on, or reassure you that she's just having an off day. (Yes, 10 year olds can get periods, unfortunately, so could it be hormones???.)
Good luck.