Make the salad filling by combining all the shredded veggies along with mayonnaise, lemon juice, olive oil and salt and pepper as needed.
On each tortilla, add a layer of cheese and top it with a layer of 1 tablespoon of BBQ sauce.
In the middle of the wrap, place some shredded chicken and top it with salad as needed.
Roll the wrap and place it together with a toothpick if needed.
Enjoy the yummy BBQ chicken wrap!