Hi,
You won't go hypo as long as you eat regularly and enough to see you through until your next meal.
Well done that your doctor has taken you off injections.
Stay on a zero based Carb diet - you will see from my other posts, the diet which I have and which sheds weight, without me exercising much at all, but more power to you if you do.
When you don't eat regularly and are hungry when you are driving or out and about, then you are more likely to go hypo, when your body uses the remaining energy it has, runs out and shuts down.
Eat regularly and never go hungry for any reason.
Best Wishes