01 - In a large bowl, cream the butter and powdered sugar together until light and fluffy using an electric mixer or hand whisk.
02 - Mix in the lemon zest, chopped lavender, and salt until well combined and evenly distributed throughout the mixture.
03 - Gradually add the flour, mixing just until the dough comes together and no dry streaks remain. Be careful not to overmix.
04 - Divide the dough in half. Shape each half into a log about 2 inches in diameter, wrap tightly in plastic wrap, and refrigerate for at least 30 minutes until firm.
05 - Preheat the oven to 350°F. Line two baking sheets with parchment paper and set aside.
06 - Slice the chilled dough into 1/4-inch rounds and arrange on the prepared baking sheets, spacing slightly apart to allow for slight spreading.
07 - Bake for 14 to 16 minutes, or until the edges are lightly golden. Let cool on the sheets for 5 minutes, then transfer to a wire rack to cool completely.
08 - Whisk together powdered sugar, lemon juice, and zest until smooth and glossy. If too thick, add a few more drops of lemon juice to reach desired consistency.
09 - Drizzle or spread the lemon icing over the cooled cookies. Optionally, sprinkle a few lavender buds on top for decoration. Allow icing to set before serving.