The First and Ten cocktail, primarily composed of fruit juices and alcohol, is generally suitable for individuals on a gluten-free diet. Most gins and rums are distilled from gluten-containing grains, but the distillation process typically removes gluten proteins, making them gluten-free. However, individuals with celiac disease or gluten sensitivity should verify the gluten-free status of the specific brands of gin and dark rum used in the cocktail to ensure they meet their dietary needs.