Preheat oven to 350℉. Grease a 9"x13" baking dish and set aside.
In a large bowl, combine the shredded chicken, cumin, onion powder, garlic powder, black pepper and 1 cup of the shredded jack cheese.
Lay one tortilla on a flat surface, like a cutting board. Spoon a heaping 1/3 cup of the chicken mixture down the center of the tortilla. Roll and place seam side down into the baking dish. Repeat until you've used all the chicken.
Melt 3 tablespoons of butter in a medium saucepan over medium heat. Add the onion and saute for 2-3 minutes.
Add the garlic to the pan and cook for 30 seconds more. Whisk in the flour and cook, stirring constantly for 1-2 minutes.
Slowly whisk in the broth. Bring to a boil, then reduce to a simmer for about 5 minutes or until thickened.
Remove from heat and stir in the sour cream, ½ cup shredded cheese, and green chiles, until smooth and combined.
Pour the sauce evenly over the rolled tortillas in the pan and cover with the remaining shredded cheese.
Bake uncovered for 20-25 minutes until bubbly. Let stand for 5 minutes and serve with your favorite toppings, like diced tomatoes and sliced jalapenos.
Notes
Store leftovers in an airtight container in the fridge for up to 5 days. Enchiladas can be frozen for up to 3 months, thaw before reheating. Reheat single servings in the microwave for about 1 minute.