01 - In a small mixing bowl, whisk together the eggs, milk or cream, salt, black pepper, and smoked paprika until fully incorporated.
02 - Heat a nonstick skillet over medium heat. Add unsalted butter, then sauté the red bell pepper and green onion for about 2 minutes until softened.
03 - Pour the egg mixture into the skillet with the cooked vegetables and gently scramble until just set, 2 to 3 minutes. Remove from heat and set aside.
04 - Lay one flour tortilla on a clean surface. Sprinkle half of each cheese over the tortilla, then evenly layer scrambled eggs, chicken, and sautéed vegetables. Top with remaining cheeses and cover with the second tortilla.
05 - Heat a large nonstick skillet or griddle over medium heat. Carefully transfer the assembled quesadilla to the skillet. Cook each side for 2 to 3 minutes, pressing lightly with a spatula, until golden brown and cheese is thoroughly melted.
06 - Remove quesadilla from the pan and allow to rest for 1 to 2 minutes. Cut into wedges and serve immediately.