01 - In a small bowl, whisk eggs with milk or cream, salt, black pepper, and smoked paprika until thoroughly blended.
02 - Heat a nonstick skillet over medium heat and add butter. Sauté red bell pepper and green onion until tender, about 2 minutes.
03 - Pour the egg mixture into the skillet and gently scramble until softly set, approximately 2 to 3 minutes. Remove from heat and reserve.
04 - Lay one tortilla on a clean surface. Sprinkle half of each cheese over the tortilla. Arrange scrambled eggs, chicken, and sautéed vegetables evenly. Scatter remaining cheese on top.
05 - Place the second tortilla over the filling, pressing gently to secure.
06 - Heat a large skillet or griddle over medium heat. Carefully transfer the assembled quesadilla to the skillet. Cook for 2 to 3 minutes on each side, pressing lightly with a spatula, until golden brown and cheese is melted.
07 - Remove from heat, allow quesadilla to rest for 1 to 2 minutes. Slice into wedges and serve immediately.