01 - Cream the softened butter and powdered sugar in a large bowl until mixture becomes light and fluffy.
02 - Mix in lemon zest, chopped dried lavender, and salt until thoroughly combined throughout the butter mixture.
03 - Gradually add flour while mixing just until dough forms and no dry flour streaks remain visible.
04 - Divide dough in half and shape each portion into 2-inch diameter logs. Wrap tightly 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 - Slice chilled dough logs into 1/4-inch rounds and arrange on prepared baking sheets with slight spacing between cookies.
07 - Bake for 14 to 16 minutes until edges turn lightly golden. Cool on baking sheets for 5 minutes before transferring to wire rack.
08 - Whisk together sifted powdered sugar, lemon juice, and lemon zest until smooth and glossy. Adjust consistency with additional lemon juice if needed.
09 - Drizzle or spread lemon icing over completely cooled cookies. Garnish with lavender buds if desired and allow icing to set before serving.