01 - Cream the softened butter and powdered sugar in a large bowl until light and fluffy, approximately 3 minutes.
02 - Mix in the lemon zest, chopped lavender, and salt until thoroughly combined and evenly distributed throughout the mixture.
03 - Gradually add the flour, mixing just until the dough comes together and no dry streaks remain. Avoid overmixing to maintain tender texture.
04 - Divide the dough in half and shape each half into a 2-inch diameter log. Wrap tightly in plastic wrap and refrigerate for at least 30 minutes until firm.
05 - Preheat the oven to 350°F and line two baking sheets with parchment paper.
06 - Slice the chilled dough into 1/4-inch rounds and arrange on the prepared baking sheets, spacing about 1 inch apart.
07 - Bake for 14 to 16 minutes until the edges are lightly golden. Allow to cool on the sheets for 5 minutes, then transfer to a wire rack.
08 - Whisk together the powdered sugar, lemon juice, and lemon zest until smooth and glossy. Adjust consistency with additional lemon juice if needed.
09 - Drizzle or spread the lemon icing over the completely cooled cookies. Sprinkle with lavender buds if desired and allow icing to set before serving.