Begin by preheating your oven to 450°F (232°C) and preparing your baking sheet with parchment paper.
In the large bowl, mix the flour, baking powder, salt, and sugar. Incorporate the chilled butter into the mixture until you achieve a coarse, crumb-like texture.
Gradually add in the milk, mixing until combined. Carefully fold in the blueberries.
Transfer the dough onto a lightly floured surface, knead gently, and roll it to a 1-inch thickness.
Cut the biscuits using the biscuit cutter and place them onto the baking sheet. Bake for 12-15 minutes until golden brown.
While the biscuits are baking, create the glaze by combining the powdered sugar, milk, and vanilla extract in a saucepan over low heat.
Stir until the sugar is fully dissolved. Brush the warm glaze over the hot biscuits immediately after they come out of the oven.