Bring the broth to the boil. Add orange rind, cinnamon sticks, cloves and salt. Simmer for 15 minutes. Add orange juice and Tabasco and bring quickly to the boil, stirring. Remove from the heat as soon as it comes to the boil, and let cool. Strain and chill.
Serve in small or shallow soup bowls with ice blocks. Float orange slices and a slice of chilli on top.