In a large nonstick skillet, heat olive oil over medium-high heat. Add the diced onion and cook until tender, about 3-5 minutes.
Reduce heat to medium-low and add the shredded chicken. Season with chili powder, cumin, smoked paprika, salt, and pepper. Mix in the green chiles and enchilada sauce.
Stir in the tortilla strips until well coated with the sauce. Let simmer for 2 minutes to soften the tortillas.
Transfer everything to a baking dish and sprinkle the shredded cheese evenly over the top. Bake in the preheated oven for 7-10 minutes, or until the cheese is melted and bubbly.
If desired, broil for a minute to brown the cheese, but watch closely to prevent burning. Let rest for 5 minutes before serving.