01 - Preheat oven to 350°F. Grease and line a 9x5-inch loaf pan with parchment paper.
02 - In a large bowl, beat softened butter, granulated sugar, and brown sugar with an electric mixer or whisk until light and fluffy.
03 - Add eggs one at a time, beating well after each addition. Mix in the whole milk until incorporated.
04 - In a separate bowl, whisk together all-purpose flour, baking powder, baking soda, fine sea salt, and ground cinnamon.
05 - Gradually fold dry ingredients into the wet mixture until just combined without overmixing.
06 - Gently fold in diced apples and shredded cheddar cheese until evenly distributed.
07 - Spoon the batter into the prepared loaf pan. Drizzle half of the caramel sauce over the top; swirl gently with a knife.
08 - Bake for 45 to 55 minutes, or until a toothpick inserted into the center emerges clean.
09 - Cool in pan for 10 minutes, then transfer to a wire rack. Drizzle with remaining caramel sauce and sprinkle with nuts if desired. Let cool completely before slicing.