Preheat the oven to 350°F (175°C). Grease an 8 x 4-inch loaf pan or line it with parchment paper.
Peel and dice the apple, then mix it with brown sugar and cinnamon in a bowl. Let it sit for about 15 minutes.
In a separate bowl, sift together flour, baking powder, and salt.
Cream the softened butter and granulated sugar until light and fluffy. Beat in the eggs one at a time, followed by milk and vanilla extract.
Gently stir in the flour mixture until just combined.
Pour half of the batter into the prepared loaf pan. Spoon half of the apple mixture over the batter, then add the remaining batter and layer the rest of the apple mixture on top.
Use a knife or skewer to create swirls of apple in the batter.
Bake for about 1 hour or until a toothpick inserted in the center comes out clean. If using smaller pans, start checking around 30 minutes.
Let the bread cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.
While cooling, prepare the sour cream glaze by mixing sour cream, vanilla, and powdered sugar. Add milk as needed to reach desired consistency.
Drizzle the glaze over the cooled bread before slicing and serving.
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Notes
Store glazed bread in an airtight container in the refrigerator for up to 5 days. Unglazed bread lasts about 3 days at room temperature.