01 - In a small bowl, whisk eggs together with milk or cream, salt, black pepper, and smoked paprika until fully blended.
02 - Heat a nonstick skillet over medium heat and add unsalted butter. Sauté red bell pepper and green onion until soft, about 2 minutes.
03 - Pour the egg mixture into the skillet with softened vegetables. Gently stir and cook until eggs are barely set, about 2–3 minutes. Remove pan from heat and set aside.
04 - Lay one flour tortilla on a clean work surface. Evenly scatter half the cheddar and Monterey Jack cheese over the tortilla, then top with scrambled eggs, cooked chicken, and sautéed vegetables. Sprinkle the remaining cheese over the filling, then place the second tortilla on top.
05 - Heat a large skillet or griddle over medium heat. Carefully transfer the assembled tortilla to the pan. Cook for 2–3 minutes per side, pressing with a spatula, until the exterior is golden brown, crisp, and the cheese is fully melted.
06 - Remove the quesadilla from the skillet and let stand for 1–2 minutes. Slice into wedges and serve immediately.