Heat a non-stick skillet over medium heat and lightly coat with cooking spray or butter.
Place one flour tortilla in the skillet.
Spread the shredded buffalo chicken evenly over the tortilla.
Sprinkle blue cheese crumbles on top of the buffalo chicken.
Add the shredded mozzarella cheese over the blue cheese.
Cover with the second flour tortilla.
Cook until the bottom tortilla is golden brown and the cheese is melted, about 3-4 minutes.
Carefully flip the quesadilla using a spatula, and cook the other side until golden brown, about 2-3 minutes.
Remove from the skillet and let it cool for a minute before cutting into wedges.
Pack in a lunchbox with a side of ranch or blue cheese dressing for dipping.