Cook noodles according to package directions. Drain.
In a 2 quart saucepan, mix cooked chicken, cream of potato soup, cream of broccoli soup, milk, mixed vegetables, broccoli, salt, pepper, and thyme. Cook over medium heat until broccoli is cooked. Mix with egg noodles. Spread into a greased 9 x 13 inch pan. Cover.
Bake at 350 degrees F (175 degrees C) for 20 minutes. Cover with Colby cheese, and bake uncovered for an additional 15 minutes.