Preheat the oven to 350°F.
Combine half the cream cheese with the chicken, a cup of shredded cheese, cumin, chili powder, lime juice, salt, and black pepper.
Fill a tortilla with 2 tablespoons of the chicken mixture and put seam side down in a greased 9 x 13-inch baking dish.
Repeat with the rest of the tortillas and remaining filling mixture.
Melt the butter in a pan and whisk in the flour, cooking for 2 or 3 minutes until golden.
Add salt and black pepper to taste and whisk in the drained chilies and chicken broth.
Mix in the rest of the cream cheese and cook for 5 to 7 minutes until thickened.
Take the pan off the heat and pour the sauce over the enchiladas in the baking dish.
Sprinkle the rest of the cheese on top.
Bake for 22 to 25 minutes or until the cheese is bubbling and melted.
If you want it browner on top, give it a few minutes under the broiler.
Let it rest for 10 minutes and then serve, garnished with cilantro if liked.
Enjoy!