The most common and most likely answer to this crossword clue is the 4 letter word DIDO
I've seen this crossword clue in The Daily Telegraph
D
I
D
O
More clues leading to the result DIDO
- Performed with old opera heroine
- Singer performed before ball
- Queen performed overture to opera
- Mythological princess performed with nothing on
- Mythical queen languished, devoid of ecstasy and love
- Ancient queen acted with love
- Queen of Carthage was idle?
- Queen singer was an idler?
- Classical suicide achieved nothing
- Queen cheated, ending with nothing
Buddy explains!

The straight part
We know that "Fabulous woman" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fabulous woman = dido.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does DIDO mean?
DIDO noun- A fuss, a row.
- A shrewd trick; an antic; a caper.