Cook the chicken
Heat olive oil in a skillet over medium heat. Season chicken with spices, salt, and pepper. Cook until golden and cooked through. Set aside and slice thinly.
Make the sauce
In a bowl, whisk all sauce ingredients until smooth. Adjust spice to taste.
Assemble
Lay a tortilla flat. Spread sauce on one half, add chicken, and sprinkle generously with cheese. Fold tortilla over.
Grill
Heat a lightly buttered skillet over medium. Cook quesadilla until golden and crispy, flip, and cook until cheese melts.
Serve
Rest briefly, slice, and serve warm.