So, your doctor is looking to see if your A1C is abnormally low and also if your blood sugar reading was low. This would indicate that he should treat you for low blood sugar.
Hypoglycemia is NOT sorta like diabetes. A diabetic does not produce enough insulin in response to the sugar in his blood or has a resistance to the insulin he is producing; whereas the Hypoglycemic produces to much insulin throwing the body into shock and coma if it is serious enough. It is EXACTLY the opposite reaction from that a diabetic would have and is in fact the reaction many diabetics have to taking to much medication.
Lets see what your tests say when they come back.
there is absolutely no harm in doing what the nurse has asked you to do, it fact it's probably a very good idea.
You are a long way from the "medication" route. I would suspect that simple diet and the occasional "coke" or OJ can keep you normal. You first have to acertain that there IS a problem to treat it; and then you have to acertain to what extent the problem IS a problem. All this before anyone is ever going to prescribe you meds. So take some Blood sugar readings and eat healthy and above all, see what your doctor tells you.