01 - Preheat oven to 350°F. Grease and line a 9x5-inch loaf pan with parchment paper.
02 - Whisk together flour, baking powder, baking soda, and salt in a medium bowl. Set aside.
03 - In a large bowl, cream the softened butter and granulated sugar until light and fluffy.
04 - Beat in eggs one at a time, mixing well after each addition.
05 - Incorporate lemon zest, lemon juice, and vanilla extract until evenly mixed.
06 - Alternate adding the flour mixture and milk to the wet ingredients, starting and ending with the flour. Mix until just combined; avoid overmixing.
07 - Pour batter into prepared loaf pan and smooth the top evenly.
08 - Bake for 45 to 55 minutes or until a toothpick inserted in the center comes out clean.
09 - Allow the loaf to cool in the pan for 10 minutes before transferring to a wire rack to cool completely.
10 - Whisk powdered sugar and fresh lemon juice until smooth and pourable.
11 - Drizzle glaze over the cooled loaf and let set before slicing and serving.