Possible Clues:

• Homer's ''loveliest of all immortals''
• Goddess of magic
• Sorceress makes ring with line coming out of it
• Her 'Ulysses' counterpart runs a brothel
• Left out of group, she turned men into swine
• Chef begins with cooked rice, as one who could work magic
• Madeline Miller novel featuring Odysseus
• She was exiled to Aeaea
• Witch left out of ring
• Sorceress in Greek mythology