- Place water and sugar in a saucepan over low heat. Cook, stirring, for 2 minutes or until sugar dissolves. Remove from heat and set aside to cool slightly.
- Place sugar syrup and honeydew in the bowl of a food processor and process until smooth. Pour into a shallow metal container and cover with foil. Place in the freezer for 6 hours or until almost frozen.
- Use a metal spoon to break up the honeydew mixture. Place honeydew mixture, tequila and mint in the bowl of a food processor and process until smooth. Spoon into glasses to serve.