01 - Preheat the oven to 350°F. Grease and flour an 8-inch round cake pan, ensuring complete coverage to prevent sticking.
02 - Whisk together flour, baking powder, and salt in a medium bowl until uniformly blended. Set aside for later use.
03 - Beat softened butter and granulated sugar in a large bowl until the mixture appears light and fluffy, approximately 3-4 minutes. Add eggs one at a time, incorporating fully before each addition. Blend in chopped lavender and vanilla extract.
04 - Alternate adding the 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 - Transfer batter to the prepared pan and smooth the surface evenly. Bake for 25-30 minutes until a toothpick inserted into the center emerges clean.
06 - While the cake bakes, combine water, sugar, and lavender buds in a small saucepan. Simmer for 3 minutes, then strain through a fine mesh sieve. Reserve the syrup.
07 - Allow the cake to rest in the pan for 10 minutes. If using the syrup, create small holes across the surface with a skewer and brush evenly with warm syrup. Cool completely on a wire rack.
08 - Whisk powdered sugar, lemon juice, and chopped lavender in a small bowl until a smooth, pourable consistency forms.
09 - Drizzle the glaze over the completely cooled cake, allowing it to cascade down the sides. Let the glaze set for 15-20 minutes before slicing into portions.