01 - Beat softened butter and powdered sugar in a large bowl until pale and fluffy, approximately 3-4 minutes.
02 - Fold in lemon zest, chopped lavender, and salt until evenly distributed throughout the mixture.
03 - Gradually blend in flour, mixing just until dough forms and no dry flour remains visible. Avoid overmixing.
04 - Divide dough in half and form each portion into a 2-inch diameter log. Wrap tightly in plastic wrap and refrigerate for 30 minutes until firm.
05 - Preheat oven to 350°F. Line two baking sheets with parchment paper.
06 - Cut chilled dough logs into 1/4-inch thick rounds and place on prepared baking sheets, leaving 1 inch between cookies.
07 - Bake for 14-16 minutes until edges turn light golden. Let cool on baking sheets for 5 minutes, then transfer to wire rack to cool completely.
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 icing over cooled cookies. Sprinkle with lavender buds if desired. Allow icing to set before serving.