In Greek myth, the daughter of King Minos of Crete (7)
I believe the answer is:
ariadne
(Other definitions for ariadne that I've seen before include "Daughter of Minos who eloped with Theseus" , "In title role" , "She helped Theseus escape from the Minotaur's labyrinth" , "Lover of Theseus" , "Straussian heroine" .)