Anaxarete

In Greek mythology, Anaxarete was a Cypriot maiden who refused the advances of a shepherd named Iphis. He cried in despair and killed himself on her doorstep, but Anaxarete was still unmoved, so Aphrodite turned her to stone.
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[Greek] A girl from Cyprus who was loved greatly by the shepherd Iphis. She reacted so cooly to his passionate love for her that he killed himself. When she was not even moved by seeing his dead body, the goddess Aphrodite turned her into stone.