Heat a non-stick skillet over medium heat. Add chicken breasts and cook until juices run clear, about 4 minutes per side. Remove to a cutting board to cool completely. Use a fork to shred the meat into strands.
Pour the ranch dressing, cream cheese, and wing sauce into a bowl and mix until combined. Add the shredded chicken and mix well. Spread the mixture into a 9x13 inch baking dish. Sprinkle the Cheddar cheese over top of the chicken mixture.
Bake in the preheated oven until the cheese is bubbling, about 10 minutes.