Prep pan. Preheat your oven to 350°F/175ºC. Grease a 9x5 or 8x4 loaf pan with oil or a nonstick baking spray. Alternatively you can line it with parchment paper with some overhang.
Mix dry ingredients. In a large bowl, whisk together flour, baking powder, baking soda, and kosher salt. Set aside.
“Cream” together the egg and oil. In a medium bowl, cream together the sugar and olive oil using a whisk until well combined.
Mix wet ingredients. Whisk the room temperature eggs into the sugar and oil mixture until smooth then mix in unsweetened yogurt, vanilla extract, grapefruit zest, and grapefruit juice. Mix in 1 tablespoon minced fresh rosemary.
Fold the wet into the dry. Pour the wet ingredients into the flour mixture and fold them together using a silicone spatula until just combined, don't over mix the batter.
Transfer to a loaf pan and bake. Pour batter into the prepared pan. Bake in the preheated oven for 45-48 minutes (check after 45) or when a toothpick/the tip of a knife inserted into the center comes out clean.
Let cool. Let the cake cool in the pan for 30 minutes. Carefully remove the loaf from the pan and transfer it to a wire rack to finish cooling completely.
Glaze. In a small bowl, whisk together the powdered sugar, grapefruit zest, and grapefruit juice. Thin with a little more grapefruit juice if needed. When the loaf is nearly cool, drizzle it on top of the bread, slice and enjoy!