01 - Whisk eggs, milk or cream, salt, black pepper, and smoked paprika in a mixing bowl until fully combined.
02 - Melt butter in a nonstick skillet over medium heat, then add red bell pepper and green onion. Sauté for about 2 minutes until softened.
03 - Pour egg mixture into the skillet with vegetables. Gently scramble until eggs are softly set, approximately 2 to 3 minutes. Transfer eggs and vegetables to a plate.
04 - Lay one tortilla on a clean surface. Sprinkle half of each cheese type over the tortilla, evenly layer scrambled eggs, chicken, and sautéed vegetables, then top with remaining cheese.
05 - Place the second tortilla on top to cover the filling.
06 - Heat a large nonstick skillet or griddle over medium heat. Carefully transfer the assembled quesadilla to the skillet. Cook for 2 to 3 minutes per side, pressing lightly with a spatula, until golden, crisp, and cheese is melted.
07 - Transfer quesadilla to a cutting board. Let rest for 1 to 2 minutes, then cut into wedges and serve immediately.