Prepare the BBQ Chicken: Shred the cooked chicken and heat it in a skillet with BBQ sauce until well-coated.
Make the Coleslaw: Combine shredded cabbage and grated carrots in a bowl. In another bowl, whisk together mayonnaise, apple cider vinegar, salt, and pepper. Pour the dressing over the cabbage and carrots, and toss until well-coated.
Assemble the Wraps: Lay a tortilla flat, spoon BBQ chicken onto the center, add coleslaw on top, fold in the sides, and roll it up tightly.