In a large skillet, heat the olive oil over medium-high heat. Once hot, add the sliced chicken breasts. Season generously with chili powder, ground cumin, smoked paprika, salt, and freshly ground black pepper. Sauté for 5-7 minutes, stirring occasionally, until the chicken is fully cooked throughout and has a golden brown color.
Stir in the sliced red and green bell peppers along with the onion. Continue to sauté for an additional 3-5 minutes, or until the vegetables are vibrant and tender. Once cooked, remove the skillet from heat and set the chicken and vegetable mixture aside to cool slightly.
In a clean skillet (or use the same skillet after wiping it clean), reduce the heat to medium. Place one flour tortilla in the skillet. On one half of the tortilla, sprinkle half of the shredded cheese for a melty base.
Spoon a generous portion of the chicken and vegetable mixture over the cheese, then layer the remaining cheese on top to make everything gooey. Fold the tortilla over, creating a half-moon shape that encloses the filling.
Cook the quesadilla for about 3-4 minutes on each side, or until the tortilla is golden brown and crispy, and the cheese inside is melted. Repeat this process with the remaining tortillas and filling.
Once all quesadillas are cooked, slice each one into wedges. Serve them hot alongside sour cream and salsa for dipping.
Arrange the quesadilla wedges on a colorful platter, garnished with fresh cilantro leaves and lime wedges for an extra zesty touch.