What does the cryptic crossword clue "Promoted over a woman, like Rees-Mogg (8)" mean?

The wordplay uses a container (one word inside another). HEN (synonym="woman") in HYPED (synonym="promoted") = HYPHENED The answer is HYPHENED.

Promoted over a woman, like Rees-Mogg (8)

Guardian Cryptic #29363 | 20 Across | 2024-04-22 flower