01 - Beat the softened butter and powdered sugar in a large bowl until pale and fluffy, approximately 3 to 4 minutes.
02 - Fold in the lemon zest, chopped lavender, and salt until evenly distributed throughout the mixture.
03 - Gradually blend in the flour, mixing just until the dough forms and no dry flour streaks remain visible.
04 - Divide dough into two equal portions. Roll each into a 2-inch diameter log, wrap securely in plastic wrap, and refrigerate for 30 minutes until firm.
05 - Preheat oven to 350°F and line two baking sheets with parchment paper.
06 - Cut chilled dough logs into quarter-inch rounds and place on prepared baking sheets, leaving slight space between cookies.
07 - Bake for 14 to 16 minutes until edges turn light golden. Cool on sheets for 5 minutes, then transfer to wire rack.
08 - Whisk powdered sugar, lemon juice, and lemon zest until smooth and glossy. Adjust consistency with additional lemon juice if needed.
09 - Drizzle or spread icing over completely cooled cookies. Garnish with lavender buds if desired and allow icing to set before serving.