Combine the water and sugar in a small pot and bring to a boil until all the sugar dissolves. Stir in the lemon juice, zest, and honey. Remove from the heat and carefully pour the mixture into a medium bowl. Chill in the refrigerator until cool.
Transfer the bowl to a freezer and freeze the mixture for approximately 3-4 hours. Remove the bowl from the freezer, mix the mixture with a fork and return the bowl to the freezer.
When ready to serve, scoop into individual bowls or glasses. Drizzle a little honey over the top and garnish with the sweet alyssum. Serve immediately.