In a bowl, whisk together the flour, baking powder, and salt.
In a separate bowl, use an electric mixer to cream together the sugar, lemon zest, and softened butter until it's light and fluffy.
Beat in the egg until well combined. Then, mix in the lemon juice and vanilla extract.
Gradually add the dry ingredients to the wet ingredients. Mix on low speed until just combined. Be careful not to overmix.