Summarize the following:
Whisk the sugar inside the sieve, pushing it through the mesh. Discard any remaining lumps. If the glaze is not thin enough, add an additional 1/2 teaspoon of milk. Continue adding milk in 1/2-teaspoon increments until the glaze has the consistency of cold honey.  The glaze should set after about 1 minute if it’s at the right consistency.
Place the confectioner’s sugar in a sieve. Combine the confectioner’s sugar, milk, vanilla extract, lemon juice and lemon extract in a mixing bowl and beat the mixture well with a handheld mixer or stand mixer with a paddle attachment. Spread a thin layer of glaze on a cookie using a cheese spreader or a butter knife. Return the cookie to the wire rack and allow the glaze to harden. Finished.