If you haven’t already, cook the chicken breast by boiling or baking until fully cooked, then shred it using two forks. If using rotisserie chicken, shred it into bite-sized pieces.; In a large bowl, combine the buffalo sauce, ranch dressing, and Greek yogurt. Whisk them together until you get a smooth and uniform sauce.; Add the shredded chicken, chopped celery, red onion, carrot, and optional blue cheese crumbles to the bowl with the sauce. Season with salt and pepper to taste. Mix well until all the chicken is coated with the buffalo sauce mixture.; For the best flavor, cover and refrigerate the chicken salad for at least an hour to allow the flavors to meld. However, if you’re pressed for time, you can serve it right away.; Serve the buffalo chicken salad on a bed of lettuce, in a croissant, or on your choice of bread. For a novel touch, sprinkle chopped parsley on top.; Your homemade Buffalo Barclay-inspired chicken salad is ready to enjoy!