Peel the apples and remove the core of the whole apples with an apple corer. Cut into 1-cm (1/2-inch) thick slices.
Toss the apples with the rum. Let marinate for 1 hour at room temperature.
In a bowl, combine 60 ml (1/4 cup) sugar, flour, cinnamon, beer and vanilla. Whisk until it is smooth. Let stand one hour at room temperature.
Sprinkle the apples with the remaining sugar and coat with the batter. Preheat the oil in the deep fryer to the highest temperature. Fry a few slices of apple at a time until browned. Dust with icing sugar. Serve immediately. Delicious with vanilla ice cream.
Recipes with the "Healthy Pick" stamp have been evaluated by a registered dietitian member of the Ordre professionnel des diététistes du Québec.