Treat this as an enzyme-pathway puzzle. Epinephrine raises blood sugar by mobilizing liver glycogen, and the very last step of releasing glucose into the blood is run by glucose-6-phosphatase. If giving epinephrine fails to lift the sugar, that final enzyme must be the one missing.
A deficiency of glucose-6-phosphatase is Von Gierke's disease, glycogen storage disease type I. Glycogen and glucose-6-phosphate pile up in the liver, so the organ enlarges, while the inability to free glucose leaves the child profoundly hypoglycemic during fasting. The non-response to epinephrine is the signature clue.
Discard the rest by their hallmark organs. Andersen's disease scars the liver into cirrhosis. Pompe's disease floods the heart and muscle, producing a thick, failing heart in infancy. McArdle's disease strikes skeletal muscle, giving cramps and fatigue on exertion. None reproduces the liver-plus-refractory-hypoglycemia combination.
So the answer is Von Gierke's disease.
\[\boxed{\text{Von Gierke's disease}}\]