01 - Preheat the oven to 350°F. Grease and line a 9x5-inch loaf pan with parchment paper.
02 - In a medium bowl, whisk together the flour, baking powder, baking soda, and salt. Set aside.
03 - Using an electric mixer or whisk, cream the butter and sugar together until light and fluffy.
04 - Beat in the eggs one at a time, mixing thoroughly after each addition.
05 - Mix in the lemon zest, lemon juice, and vanilla extract until evenly combined.
06 - Alternate adding the flour mixture and milk to the wet mixture, beginning and ending with the flour. Stir gently until just combined to avoid overmixing.
07 - Transfer the batter into the prepared loaf pan and smooth the surface evenly.
08 - Bake for 45 to 55 minutes, or until a toothpick inserted into the center comes out clean.
09 - Allow the loaf to cool in the pan for 10 minutes, then remove onto a wire rack to cool completely.
10 - Whisk together the powdered sugar and lemon juice until smooth and pourable.
11 - Drizzle the glaze evenly over the cooled loaf and let it set before slicing and serving.