Heat 1 tablespoon of olive oil in a skillet over medium-high heat.
Add the chicken slices and cook until browned and cooked through, about 5-7 minutes. Remove from skillet and set aside.
In the same skillet, add the remaining olive oil, bell pepper, and onion. Cook until softened, about 5 minutes.
Return the chicken to the skillet and add the chili powder and cumin. Stir to combine and cook for another 2 minutes.
Heat another skillet over medium heat. Place one tortilla in the skillet, sprinkle with ½ cup of cheese, and top with ¼ of the chicken and vegetable mixture. Sprinkle another ½ cup of cheese on top and cover with another tortilla.
Cook until the bottom tortilla is golden brown, then flip and cook the other side until golden brown and the cheese is melted, about 2-3 minutes per side. Repeat with remaining tortillas and filling.
Cut into wedges and serve warm.