In a 1 cup microwave safe measuring cup, combine the cider, vodka, and vanilla liqueur. Heat the mixture in microwave until warm, but not boiling, 1-1 1/2 minutes. Pool the caramel sauce in a shallow bowl. Overturn a wine glass and dunk the rim in the sauce, twisting it to coat well. Sprinkle cinnamon around rim and fill glass with warmed beverage. Serve with cinnamon stick as a garnish.