Preheat the oven to 350°F.
In a large skillet, mix the shredded chicken, cream cheese, sour cream, green chilies, onion, chili powder, cumin, and 3/4 cup of the cheddar cheese.
Cook over medium heat until the cheese has melted and the mixture is well combined.
Lightly grease a baking dish with cooking spray.
Place a spoonful of the chicken mixture onto each tortilla, roll it up, and place it seam side down in the prepared baking dish.
Continue until all tortillas are filled and arranged in the dish.
Pour the enchilada sauce evenly over the rolled tortillas.
Sprinkle the remaining cheddar cheese on top.
Bake in the preheated oven for 20 minutes, or until the cheese is bubbly and slightly golden.