What you get is a creamy Cocktail, You could call it an adult Milkshake.
White Russian Cocktail Recipe
A sophisticated Cocktail, combining Kahlua, Vodka, and cream, the serving it o the rocks. The White Russian has been around since the 1960's, and simply came about when some added cream to the Black Russian, kind of like an Irish Coffee. The White Russian was reborn after it featured in the 1998 movie 'The Big Lebowski'
Add the vodka and Kahlúa to an Old Fashioned glass with ice.
Top with a large splash of heavy cream and stir.