Combine water and sugar in a saucepan; stir well, and place over low heat. Cook 2 minutes or until sugar dissolves. Remove from heat; stir in rum, lime juice, and rind.
Pour mixture into the freezer can of a 1/2-gallon hand-turned or electric ice-cream freezer. Freeze according to manufacturer's instructions. Arrange kiwifruit slices and scoops of daiquiri ice on dessert plates; garnish with mint sprigs and lime slices, if desired.