Heat oven to 350°. Grease a 9- by 9-inch baking pan.
Combine cornmeal, flour, baking powder and salt on a plate or piece of wax paper. In a large bowl, beat the egg. Beat in corn, buttermilk, oil and chilies. Add cornmeal mixture and cheese and stir briefly to combine. Scrape into baking pan and bake 30 minutes. Cool slightly in the pan before slicing.
Makes 9 pieces