Prepare the Apples: Peel and dice your Red Delicious apples, then toss them in a bowl with 1 tablespoon of sugar. Let this mixture sit for 30 minutes.

Combine the Ingredients: In your bread machine, pour in warm milk followed by melted butter. Next, add flour, sugar, cinnamon, salt, and yeast in the order recommended by your machine.

Add the Apple Mixture: Once the bread machine has mixed the initial ingredients, gently fold in the prepared apple mixture.

Select the Cycle: Set your bread machine to the white bread setting for a 1.5 lb loaf.

Cool the Bread: After baking, remove the bread pan and let it cool in the pan for 10 minutes, then transfer to a rack for at least 15 minutes.

Make the Glaze: In a bowl, whisk icing sugar with additional milk and melted butter until smooth. Adjust thickness as needed.

Glaze the Bread: Drizzle the glaze over the cooled bread and let it set for about 20 minutes before slicing.