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 out skillet.
03 - Lay out tortillas. On half of each tortilla, sprinkle a quarter of the cheese, top with a quarter of the chicken mixture, then add another layer of cheese. Fold tortillas in half to form half-moons.
04 - Heat remaining oil in skillet over medium heat. Place 1–2 quesadillas at a time in pan. Cook 2–3 minutes per side, pressing gently with spatula, until tortillas are golden and crispy and cheese is melted.
05 - Transfer to cutting board and rest 1 minute. Cut into wedges and serve hot with sour cream, salsa, cilantro, and lime wedges as desired.