1/3c. (packed) grated Monterey Jack cheese
Preheat the oven to 350 degrees. Lightly spray an 8-inch square pan or its equivalent with nonstick spray.
Heat the oil or melt the butter in a small skillet over medium heat. Add the chile and sauté for about 5 minutes, or until tender. Remove from heat and set aside.
Sift the flour, baking powder, baking soda and salt into a medium-size bowl. Stir in the cornmeal, and make a well in the center.
In a separate bowl, beat together the honey, egg, and yogurt or buttermilk. When the mixture is smooth and uniform, pour it into the well in the center of the dry ingredients, along with the sautéed chiles, with all their oil or butter, and the grated cheese. Mix with as few strokes as possible until uniformly combined.