01 - In a small bowl, vigorously whisk together eggs, milk or cream, salt, black pepper, and smoked paprika until the mixture is uniform.
02 - Preheat a nonstick skillet over medium heat and melt the butter. Add the red bell pepper and green onion, cooking until vegetables are softened, approximately 2 minutes.
03 - Pour the seasoned egg mixture into the skillet. Gently scramble until softly set but still moist, about 2 to 3 minutes. Remove from heat.
04 - Lay one flour tortilla flat on a clean work surface. Distribute half of each cheese evenly, then layer the scrambled eggs, chicken, and sautéed vegetables. Sprinkle with remaining cheese and cover with the second tortilla.
05 - Heat a large skillet or griddle over medium heat. Carefully transfer the assembled quesadilla to the pan. Cook for 2 to 3 minutes on each side, pressing gently with a spatula, until both sides are golden brown and cheese is fully melted.
06 - Remove from heat and allow to rest for 1 to 2 minutes. Slice into wedges with a chef’s knife and serve while warm.