Begin by reducing the shrimp court bouillon. Take a cup of the reserved broth, strain it and set over medium heat, simmering until it reduces by half; this concentrates the flavors. Once reduced, set aside over an ice bath to cool and then refrigerate.

To a blender, add the tomato juice, shrimp stock, Worcestershire sauce, lemon juice, horseradish, if desired, and the vodka and blend until smooth. Pour into 4 ice-filled rocks glasses. Garnish each glass with a poached shrimp and wedge of lemon.