01 - In a medium bowl, combine the chicken strips with 1 tablespoon of olive oil, chili powder, ground cumin, smoked paprika, salt, and black pepper. Toss thoroughly until all chicken pieces are evenly coated with the seasoning mixture.
02 - Heat a large nonstick skillet over medium-high heat. Add the seasoned chicken and sauté for 4 to 5 minutes, or until the chicken is fully cooked through and exhibits a light golden-brown color. Remove the cooked chicken from the skillet and set it aside on a plate.
03 - Using the same skillet, add a small amount of additional olive oil if needed. Introduce the thinly sliced red bell pepper, yellow bell pepper, red onion, and minced garlic. Sauté for 4 to 5 minutes until the vegetables are tender and slightly caramelized. Return the cooked chicken to the skillet with the sautéed vegetables and toss to thoroughly combine. Remove the skillet from the heat.
04 - Wipe the skillet clean. Place one flour tortilla in the skillet over medium heat. Distribute one-quarter of the shredded cheese over one half of the tortilla, then top with one-quarter of the chicken and pepper mixture. Carefully fold the unoccupied half of the tortilla over the filling to create a crescent shape.
05 - Cook the assembled quesadilla for 2 to 3 minutes per side, gently pressing down with a spatula, until the tortilla is golden brown and crispy, and the cheese has completely melted. Repeat this assembly and cooking process for the remaining tortillas and filling.
06 - Cut each finished quesadilla into several wedges. Serve immediately while hot, optionally garnished with sour cream, salsa, chopped fresh cilantro, and fresh lime wedges.