Heat oven to 400°F. Add oil to a 9-10 inch cast-iron skillet and warm as oven preheats.
Whisk egg, honey, and melted butter. Add cornmeal, flour, baking soda, salt, sour cream, and milk until combined. Stir in jalapeños.
Pour batter into hot skillet and bake 20–25 minutes, until golden brown and set.
Mix honey with lime juice and zest. Drizzle over cornbread.
Rest 10 minutes, slice, and serve warm with Hot Honey Butter.
