Heat 1 tablespoon of olive oil in a skillet over medium heat.
Add the sliced bell peppers and onion. Cook until softened, about 5 minutes.
Add the cooked chicken, chili powder, and cumin. Stir well to combine and cook for another 5 minutes.
Remove the mixture from the skillet and set aside.
Wipe the skillet clean and heat the remaining 1 tablespoon of olive oil over medium heat.
Place one tortilla in the skillet, sprinkle with ½ cup of cheese, and then add a quarter of the chicken mixture. Top with another ½ cup of cheese and another tortilla.
Cook until the bottom tortilla is golden brown and the cheese is melted, about 3-4 minutes. Flip and cook the other side for another 3-4 minutes.
Repeat with the remaining tortillas and filling.
Cut into wedges and serve warm.