Step 1

Preheat oven to 350 degrees F (175 degrees C). Grease a 4x8-inch loaf pan.

Step 2

Beat white sugar and butter in a large bowl until light and fluffy. Add eggs, one at a time, beating well after each addition. Stir juice and zest of one lemon into butter mixture.

Step 3

Mix flour, baking powder, and salt in a separate bowl; add to butter mixture alternately with milk, mixing until batter is just incorporated. Fold in coconut, mixing just enough to evenly combine. Pour the batter into prepared loaf pan.

Step 4

Bake in the preheated oven until a toothpick inserted into the center comes out clean, 60 to 65 minutes. Cool in the pan for 10 minutes before removing to cool completely on a wire rack.

Step 5

Gradually stir 2 teaspoons lemon juice into confectioners' sugar in a bowl until mixture is thin enough to drizzle. Transfer mixture to a resealable plastic bag. Cut a small hole in the corner of the bag. Gently squeeze bag and drizzle mixture evenly over the loaf.