Season the chicken with salt and pepper. Cook it in a skillet with a little oil until fully cooked and lightly browned. Toss the hot chicken in buffalo sauce until well-coated for that signature tangy spice.
If your tortillas feel stiff, heat them briefly in a skillet or microwave. This makes them flexible and easier to wrap without tearing.
Spread a spoonful of ranch or blue cheese dressing on the center of each tortilla. Layer buffalo chicken, lettuce, cheese, tomatoes, onions, and optional celery on top.
Fold in the sides and roll tightly from the bottom up. Cut each wrap in half for easier handling and a prettier presentation. Serve immediately while the chicken is warm.