01 - Preheat oven to 400°F. Grease an 8-inch square baking pan with butter or cooking spray.
02 - In a large mixing bowl, whisk together cornmeal, flour, sugar, baking powder, and salt until evenly distributed.
03 - In a separate bowl, whisk milk, eggs, melted butter, vegetable oil, and honey until smooth and fully incorporated.
04 - Pour wet ingredients into dry ingredients. Stir gently with a spatula just until combined—do not overmix.
05 - Gently fold corn kernels, chopped jalapeños, and cheddar cheese (if using) into the batter until evenly distributed.
06 - Pour batter into prepared baking pan. Use spatula to spread evenly and smooth the top surface.
07 - Bake for 25 to 30 minutes until golden brown and a toothpick inserted in center comes out clean.
08 - Remove from oven and let cornbread cool in pan for 10 minutes before glazing.
09 - While cornbread cools, whisk powdered sugar, lime juice, and lime zest in small bowl until smooth.
10 - Drizzle lime glaze evenly over slightly warm cornbread. Allow to set for 5 minutes before slicing and serving.