01 - Preheat oven to 400°F. Grease an 8-inch square baking pan.
02 - In a large bowl, whisk together cornmeal, flour, sugar, baking powder, and salt until well combined.
03 - In a separate bowl, whisk milk, eggs, melted butter, vegetable oil, and honey until smooth and emulsified.
04 - Pour wet ingredients into dry ingredients. Stir gently until just combined, being careful not to overmix.
05 - Gently fold in corn kernels, chopped jalapeños, and shredded cheddar cheese until evenly distributed.
06 - Pour batter into prepared baking pan and smooth top with spatula.
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 cool in pan for 10 minutes.
09 - In small bowl, whisk powdered sugar, lime juice, and lime zest until smooth and creamy.
10 - Drizzle lime glaze over warm cornbread. Allow to cool further before slicing and serving.