In a medium sized mixing bowl, add the flour, cornmeal, baking powder, and salt. Whisk to evenly combine.

In another mixing bowl, add the butter, sugar, eggs, milk, and sour cream. Stir together, until evenly combined.

Add the wet ingredients to the dry, mixing just until combined. Use a spatula to fold in the cheese.

Use a large serving spoon to drop dollops of the batter on top of your piping hot, simmering chili. Repeat until all the batter's been distributed.

Cover the pot, and continue cooking for 15-20 minutes. The dumplings are done when they’re set and no longer wet on top.