The Temple of Athena Nike is the smallest structure on the Athenian Acropolis, but holds no less importance than its neighboring shrines.Built to honor Athena Nike, the goddess of victory, the site upon which the temple was constructed has ceremonial roots that date back to the Bronze Age.he Temple of Athena Nike is the smallest structure on the Athenian Acropolis, but holds no less importance than its neighboring shrines.