01 - Combine shredded chicken with cumin, smoked paprika, garlic powder, salt, and black pepper in a medium bowl. Toss until evenly coated.
02 - Heat 1 tablespoon oil in a large skillet over medium heat. Add onion, bell pepper, and jalapeño. Sauté 3-4 minutes until softened. Add seasoned chicken and stir to combine. Cook 2 more minutes. Transfer mixture to a bowl and wipe skillet clean.
03 - Arrange tortillas on a clean surface. On half of each tortilla, layer a quarter of the cheese, top with a quarter of chicken mixture, then add another layer of cheese. Fold tortillas in half to form half-moon shapes.
04 - Heat remaining oil in skillet over medium heat. Cook 1-2 quesadillas at a time for 2-3 minutes per side, pressing gently with spatula, until tortillas turn golden brown and crispy with melted cheese inside.
05 - Transfer quesadillas to cutting board. Let rest 1 minute before cutting into wedges. Serve hot with sour cream, salsa, cilantro, and lime wedges.