In a small skillet over medium heat, add 1 tbsp olive or avocado oil and shredded chicken. Add 1-2 tbsp of buffalo sauce and stir until chicken is evenly coated. Heat all the way through.
Assemble your wrap: add lettuce and sliced tomatoes to your wrap and then pile the warmed buffalo shredded chicken on top. Fold the bottom flap of the wrap up and then roll your sides together. This will help the sauce to stay put and not drop all over your hands and clothes. (Ask me how I know.)