In a large bowl, combine shredded chicken, sour cream, diced green chilies, cumin, salt, pepper, and about half of the enchilada sauce. Stir until the chicken is evenly coated. The mixture should be creamy and well-seasoned, not dry.
Lay each tortilla flat and spoon the chicken mixture down the center. Roll tightly and place seam-side down in a greased baking dish. Keeping them snug helps them stay intact while baking.
Pour the remaining enchilada sauce evenly over the rolled tortillas. Sprinkle freshly grated pepper jack cheese generously across the top. This layer creates that irresistible golden, bubbly finish.
Bake in a preheated oven at 350°F for about 30 minutes, until the cheese is melted and bubbling. Let the enchiladas rest for 5–10 minutes before serving so the sauce settles and slices cleanly.