Low carb snacks

If your daughter is on a multiple daily injection (MDI) regime then she can eat any sort of snack and inject rapid acting insulin to cover the carbs for that snack. This might be more satisfying for her whilst she's going through the "hungry phase" shortly after diagnosis. But if you're looking for some low carb snack ideas to avoid that extra injection then here are some listed below:

Cheese
Sliced raw vegetables with a dip (peppers, cucumber, celery, carrots, mushrooms, asparagus, broccoli)
Tomatoes
Green salad
Tuna salad
Olives
Avocado
Cold meats/chicken
Eggs (hard boiled, scrambled, poached)
Sugar free jelly

Not carb free but fairly low in carbs:
Melon
Berries (strawberries, raspberries, blueberries)
Popcorn (plain, not the sugar coated type)
Almonds
Plain yoghurt

also I found when I was going through that starving-all-the-time phase that low GI carbs (like oats and pasta) helped a lot... I don't mean as a snack, I mean as part of the main meal. Stops the all-engulfing hunger so you don't need a snack so much.
But for snacks, I used to eat a LOT of carrots. Great for filling you up with very few carbs. Not so great for those around you who have to smell the farts.
sorry to lower the tone.