Preheat your oven to 375 degrees.
Line two cookies sheets with parchment paper.
In a bowl, mix the blueberries, 2 T. sugar and corn starch. Let sit.
In a mixer bowl, combine flour, sugar, baking powder, baking soda and salt.
On low, add butter until they are the size of peas.
To this add the yolk, buttermilk and vanilla mix just till combined.
Carefully fold in the blueberries.
Scoop 2 T. batter per cookie onto sheets and bake 15-18 minutes.
Cool and ice.
Make icing by mixing the powdered sugar and milk until smooth.
Pour into a pasty bag and pipe!