Preheat the oven to 350°F (175°C).
In a large bowl, combine uncooked rice, chicken broth, cream of chicken soup, milk, salt, and pepper. Mix well.
Stir in the shredded chicken and half of the shredded cheddar cheese.
Pour the mixture into a greased 9x13 inch baking dish and spread evenly.
Sprinkle the remaining cheddar cheese on top of the casserole.
Cover the dish with aluminum foil and bake in the preheated oven for 1 hour.
Remove the foil during the last 10 minutes of baking to allow the cheese to brown.
Let the casserole cool for a few minutes before serving.