In a small mixing bowl, whisk together the buffalo wing sauce and melted butter until fully combined.
Add the cubed chicken breast to the sauce and toss until every piece is thoroughly coated.
Warm the flour tortillas in a dry skillet over medium heat for 15 seconds per side to improve flexibility.
Lay the tortillas flat on a clean surface and distribute the shredded lettuce, celery, and carrots evenly across the center third of each.
Place the buffalo chicken mixture on top of the vegetable layer.
Drizzle the ranch dressing over the chicken and sprinkle with blue cheese crumbles.
Fold the left and right edges of the tortilla inward by 1 inch, then roll the tortilla tightly from the bottom to the top.
Slice the wraps diagonally through the center and serve immediately.