01 - 
                Preheat oven to 350°F. Lightly grease a 9x13 inch baking dish with cooking spray.
              
              
              
                02 - 
                In a medium bowl, combine the shredded chicken with 1 cup of the shredded Monterey Jack cheese. Mix well to combine.
              
              
              
                03 - 
                Place about ¼ cup of the chicken mixture down the center of each tortilla. Roll up tightly and place seam-side down in the prepared baking dish. Arrange all rolled enchiladas snugly in the dish.
              
              
              
                04 - 
                Melt butter in a saucepan over medium heat. Stir in flour and cook for 1 minute to create a roux. Gradually whisk in the chicken broth until smooth and no lumps remain.
              
              
              
                05 - 
                Continue cooking the sauce, stirring constantly, until it thickens and begins to bubble, about 4-5 minutes. The sauce should coat the back of a spoon.
              
              
              
                06 - 
                Remove the saucepan from heat. Stir in the sour cream and diced green chilies until fully combined and smooth. Season with salt and pepper to taste if desired.
              
              
              
                07 - 
                Pour the creamy sauce evenly over the enchiladas, making sure to cover them completely. Sprinkle the remaining 1 cup of Monterey Jack cheese over the top.
              
              
              
                08 - 
                Bake uncovered in the preheated oven for 20-25 minutes, until the enchiladas are hot throughout and the cheese is melted and beginning to brown at the edges.
              
              
              
                09 - 
                Let the enchiladas rest for 5 minutes before serving. Garnish with optional toppings like fresh cilantro, diced tomatoes, or extra sour cream if desired.