In a small saucepan bring the water just to boiling. Remove from heat. Add tea bag to hot water; steep for 2 minutes. Remove and discard tea bag.
In a food processor or blender combine half of the cantaloupe, half of the 3/4 cup yogurt, and half each of the apricot nectar, ginger, honey, lime juice, and brewed tea. Cover and process or blend until smooth. Transfer to a large bowl. Repeat with the remaining half of the ingredients. Stir into processed mixture in bowl. Cover and chill soup in the refrigerator for at least 2 hours.
Ladle soup into chilled bowls. Garnish each with 1 tablespoon yogurt and a lime peel twist.