In your crockpot, combine the chicken, celery stalk, onions, garlic and broth. Make sure your chicken is covered in liquid - if you don't have enough broth, add some water. Cover and cook on high for 4 hours.
Remove chicken from the pot, reserve 1/2 cup of the liquid, discard the rest. Shred the chicken with two forks, put it back in the slow cooker, add the 1/2 cup of saved liquid, and the hot sauce. Cook on high for an additional 30 minutes.
To put the wraps together, place desired amount of shredded chicken in a leaf of lettuce, and top with shredded carrots. Wrap up and dig in!