Whisk Egg Yolks and Sugar: In a medium saucepan, whisk together the egg yolks and granulated sugar until well combined. Mix in the flour until smooth.
Heat the Milk: In a separate pan, gently heat the milk until it's just about to boil. Gradually pour the hot milk into the egg yolk mixture, whisking constantly to prevent the eggs from scrambling.
Cook the Mixture: Place the saucepan over medium heat. Cook the mixture, stirring constantly, until it thickens and comes to a gentle boil. Remove from heat and stir in the vanilla extract.
Cool the Cream: Transfer the cream to a bowl and cover it with plastic wrap, pressing the wrap directly onto the surface to prevent a skin from forming. Chill in the refrigerator until it's completely cool.