This dish can be baked 3 days ahead, cooled, and kept covered in the refrigerator, then reheated in a 350°F oven for 25 minutes.
Heat in a large skillet over medium-high heat:
Add and brown, breaking up the meat with a wooden spoon:
Stir in:
Bring to a simmer, then reduce the heat to low and simmer gently, stirring occasionally, for 10 minutes to allow the flavors to blend. Remove from the heat.
Preheat the oven to 400°F. Grease a 13 × 9-inch baking dish.
Bring just to a boil in a small saucepan:
Remove from the heat. Mix together in a large bowl:
Stir until all the cornmeal is coated with the oil. Add the hot stock mixture and stir well. Let the batter stand for 5 minutes, then mix in:
Reserve 1 ½ cups of the batter. Spread the remaining batter evenly over the bottom of the prepared dish. Spoon in the chicken filling. Cover with:
Stir into the reserved batter:
Spread in a thin, even layer over the top of the pie. (The batter will blend with the cheese.) Bake until browned, about 40 minutes. Let stand 15 minutes before cutting.