Preheat the Oven: Preheat the oven to 350°F (175°C) and line a baking sheet with parchment paper.
Prepare the Cookie Dough: In a medium bowl, whisk together the flour, baking powder, baking soda, and salt. Set aside.
Cream Butter and Sugar: In a large bowl, beat the butter and granulated sugar together until creamy. Add the egg, lemon juice, lemon zest, and vanilla extract. Mix until smooth.
Combine Wet and Dry Ingredients: Gradually add the dry ingredients to the wet mixture, mixing until just combined.
Shape the Cookies: Scoop tablespoon-sized portions of dough and roll them into balls. Place them on the prepared baking sheet about 2 inches apart.
Bake: Bake for 10-12 minutes, or until the edges are slightly golden. Let the cookies cool on the baking sheet for 5 minutes, then transfer them to a wire rack to cool completely.
Prepare the Glaze: In a small bowl, whisk together powdered sugar, lemon juice, and lemon zest until smooth. Drizzle the glaze over the cooled cookies.
Serve: Allow the glaze to set before serving. Enjoy your tangy and sweet glazed lemon cookies!