In a large bowl, use a stand mixer or an electric hand mixer to combine the softened 8 oz cream cheese, ½ cup buffalo sauce, ¾ cup shredded cheddar cheese, ¼ cup crumbled blue cheese (if using), and 5 green onions until smooth.
Stir in ½ cup finely diced celery and 3 cups shredded chicken until evenly coated.
Spread about ¾ cup of the mixture evenly over each tortilla, all the way to the edges. Roll each tortilla tightly into a log.
Wrap the rolls in plastic wrap and refrigerate for at least 20 minutes. This helps them firm up for cleaner slicing
Slice each roll into 1-inch rounds. Arrange on a platter to serve, and enjoy!
Optional: Place the pinwheels on an ungreased cookie sheet and bake at 375 for 10-15 minutes, until warm and a little toasty. So good!! Make sure they are fully refrigerated before baking or your cream cheese might leak out while baking.