Place blossoms in a strainer; rinse under cold water. Combine blossoms, water, and sugar in a medium saucepan; bring to a boil. Reduce heat, and simmer 10 minutes. Strain; discard blossoms. Cover and chill hibiscus mixture.
Combine hibiscus mixture, tequila, juice, and Triple Sec. Serve over ice. Garnish with lime slices.