Preheat your oven to 350°F (175°C) and grease a 9x13-inch baking dish with butter or cooking spray to prevent sticking.
In a large bowl, mix together shredded chicken, both cans of soup, sour cream, milk, onion powder, garlic powder, thyme, salt, and pepper until smooth and well combined.
Spread the chicken mixture evenly in the prepared baking dish for an even bake throughout.
In another bowl, combine the stuffing mix with melted butter and chicken broth; stir well before spreading it evenly over the chicken layer in your baking dish.
Bake uncovered for 35-40 minutes until the top is golden brown and bubbling with deliciousness.
Let the casserole rest for 5-10 minutes before serving so that it sets slightly, making it easier to serve while still warm.