01 - Preheat oven to 350°F. Grease and flour an 8-inch round cake pan, ensuring even coverage to prevent sticking.
02 - Whisk together flour, baking powder, and salt in a medium bowl until thoroughly blended. Set aside for later use.
03 - Beat softened butter and granulated sugar in a large bowl until light and fluffy, approximately 3-4 minutes. Add eggs one at a time, mixing well after each addition. Incorporate chopped lavender and vanilla extract.
04 - Alternately add flour mixture and milk to the butter mixture, beginning and ending with the dry ingredients. Mix gently until just combined, being careful not to overmix.
05 - Pour batter into the prepared pan and smooth the top with a spatula. Bake for 25-30 minutes or until a toothpick inserted into the center emerges clean.
06 - While cake bakes, combine water, sugar, and lavender buds in a small saucepan. Simmer for 3 minutes, then strain and set aside to cool slightly.
07 - Allow cake to cool in pan for 10 minutes. If using syrup, poke small holes across the surface with a skewer and brush generously with warm syrup. Let cool completely before removing from pan.
08 - Whisk powdered sugar, lemon juice, and finely chopped lavender in a small bowl until smooth and pourable. Adjust consistency with additional lemon juice if needed.
09 - Drizzle the glaze evenly over the completely cooled cake, allowing it to cascade down the sides. Let glaze set for 15-20 minutes before slicing and serving.