Preheat the oven to 350°F. Spray a 9x13-inch baking dish with cooking spray.
In a large mixing bowl, combine the shredded chicken and 1 cup of the cheese. Set aside.
3 cups cooked rotisserie chicken, 3 cups Monterey Jack Cheese
Melt the butter in a large skillet over medium-high heat. Sprinkle the flour over the melted butter and whisk to combine. Cook for 1-2 minutes until bubbly to remove the raw flour taste.
3 tablespoons salted butter, 3 tablespoons all-purpose flour
Whisk the chicken broth into the butter and flour mixture to create a roux. Continue to cook for 3-5 minutes until thickened and bubbling. Remove from heat and let cool for 5 minutes.
2 cups chicken broth
Stir in sour cream, diced green chilies, salt and cumin.
1 cup sour cream, 1 (4-ounce) can diced green chilies, ½ teaspoon kosher salt, ¼ teaspoon ground cumin
Pour half of the green chili sauce into the prepared baking dish. Divide the cheese and chicken mixture evenly between the tortillas, rolling them up and laying them seam-side down in the baking dish.
8-10 soft taco size flour tortillas
Pour the remaining sauce over the enchiladas. Then sprinkle with the remaining 2 cups of shredded cheese.
Bake for 25-30 minutes until hot and bubbling around the edges. You can broil the enchiladas during the last few minutes to add some color to the top if desired.
Sprinkle with chopped green onions and freshly chopped cilantro before serving.
Chopped cilantro, 2-3 green onions