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@Andrew Colvin I'm currently doing both, Carb & Calorie counting. I've recently completed a 60 day diet of 500-600 calories & low carb. My glucose levels are now normal and I have 2 more stone to lose before I'm back in my size 8 UK jeans. I also do a daily hour of brisk walking on the treadmill, which also helps keep the glucose levels down, not so hot for weight loss ;-)
How you approach this is personal to you, there are no hard rules that you have to strictly adhere especially at the beginning it is all trial and error to find what works for you. As for the person who bit your head off, well there's one born every minute, it's the one born every 10 minutes point of view that counts
Seriously, since you have been diagnosed you have tackled it head on, my hat off to you! Don't beat yourself up if you go over your carbs or calories to start with, you will find the right balance, it is all part of the journey we find ourselves on