Mix the sugar, lemon zest and ground lavender together in a small bowl. Set aside.

Preheat your oven to 350 degrees. Line two cookie sheets with parchment paper and set aside.

In a large bowl, whisk together the flour, baking powder and salt. Then set aside.

In a large bowl cream together the butter and granulated sugar together with an electric mixer on high speed until fluffy, about two minutes.

Add in the egg, vanilla, lemon zest and dry lavender and mix on medium speed until pale in color and fluffy, 1-2 minutes.

Slowly add in the dry ingredients. Mix on low speed just until the dough pulls together.

Scoop the dough into balls with a small cookie scoop. Roll into balls, then roll in the lemon lavender sugar.

Place the dough on to the prepared baking sheet and slightly flatten each ball. (Bake 8 cookies at a time.)

Bake the cookies for 8-9 minutes. Let them cool on the baking sheet for 5 minutes, then transfer them to a cooling rack to finish cooling.

In a small bowl, mix the powdered sugar and lemon juice together until a thick glaze forms. It should drizzle off a spoon easily, but not be super runny.

Once the cookies are cooled, drizzle icing over them. Allow the icing to harden on the cookies and then enjoy!