Preheat your oven to 350°F (175°C).
Chop the onion and celery into small pieces. Cook the chicken if not using leftover.
In a large mixing bowl, combine the cooked wild rice, shredded chicken, cream of mushroom soup, and chicken broth. Add the frozen mixed vegetables, sautéed onion, and celery, along with the spices. Mix well.
Transfer the mixture into a greased 9x13-inch baking dish. Spread it out evenly and top with shredded cheddar cheese. Cover with aluminum foil and bake for 25 minutes.
Remove the foil and bake for an additional 15-20 minutes until the cheese is bubbly and golden. Let cool for a few minutes before serving.