In a medium bowl, combine the shredded chicken and BBQ sauce, tossing until the meat is thoroughly coated.
In a separate bowl, whisk together the mayonnaise, apple cider vinegar, honey, celery seed, salt, and pepper until smooth.
Add the coleslaw mix to the dressing and toss to combine evenly.
Warm the flour tortillas slightly in a dry skillet or microwave to make them pliable.
Distribute the BBQ chicken evenly across the center of each tortilla.
Top the chicken with a generous portion of the creamy coleslaw.
Fold in the sides of each tortilla and roll tightly from the bottom upward to secure the filling.
Slice diagonally and serve immediately.