01 - Whisk eggs with milk or cream, salt, black pepper, and smoked paprika (if using) in a mixing bowl until fully combined.
02 - Heat a nonstick skillet over medium heat and add unsalted butter. Sauté chopped red bell pepper and sliced green onion for about 2 minutes until softened.
03 - Pour the egg mixture into the skillet with the sautéed vegetables. Gently scramble over medium heat until softly set, approximately 2 to 3 minutes. Remove from heat and set aside.
04 - Place one flour tortilla on a clean surface. Evenly sprinkle half of each cheese over the tortilla, then distribute the scrambled eggs, chicken, and sautéed vegetables. Top with the remaining cheese and cover with the second tortilla.
05 - Preheat a large clean skillet or griddle over medium heat. Carefully place the assembled quesadilla onto the skillet. Cook for 2 to 3 minutes per side, pressing gently with a spatula, until both sides are golden and the cheese is melted.
06 - Remove the quesadilla from heat and let it rest for 1 to 2 minutes. Slice into wedges and serve while hot.