Heat the oven to 350 degrees.
Put flour into measuring cups without pressing down; even it out with a knife. Mix flour, baking soda, and salt together using a whisk.
Put sugar and butter in a big bowl. Mix them with a mixer on medium speed until they are well combined.
Add one egg at a time, mixing well after each one.
Mix banana, yogurt, rum, and vanilla together until well combined.
Add the flour mixture and mix at a low speed until just combined. Add 1/2 cup of coconut.
Put the batter into a loaf pan (9 x 5 inches) that has been sprayed with cooking spray. Sprinkle 1 tablespoon of coconut on top.
Cook in the oven at 350 degrees for 1 hour or until a toothpick inserted in the middle comes out clean. Let the pan cool for 10 minutes on a rack before removing the baked item from the pan.
Mix powdered sugar and juice together, stirring with a whisk. Pour the mixture over the warm bread.
Let it cool completely on a metal rack.
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