Shred the cooked chicken into bite-sized pieces.
In a bowl, combine the shredded chicken with buffalo sauce until well coated.
Warm the tortillas in a skillet or microwave for a few seconds to make them pliable.
Spread ranch dressing evenly on each tortilla.
Layer the buffalo chicken mixture in the center of each tortilla.
Add shredded lettuce, carrots, and celery on top of the chicken.
Sprinkle blue cheese crumbles if desired.
Season with salt and pepper to taste.
Fold the sides of the tortilla inward, then roll tightly from the bottom up.
Slice the wraps in half and serve with extra ranch dressing on the side.