The most common and most likely answer to this crossword clue is the 9 letter word TERMAGANT
I've seen this crossword clue in The Daily Telegraph
T
E
R
M
A
G
A
N
T
More clues leading to the result TERMAGANT
- Swimming manager fills dry bag
- Spell against an ogre, but not one dragon
- Word antagonistic to avoiding split is “harridan”
- Ruin a garment, beginning to tear in fury?
- Target man flying Spitfire
- Scold a German crashing in TT
- Overbearing woman’s word against a couple of Gambian conservationists
- Spitfire has course, range and theatre
- Witch’s spell is a yawn
- Scold or nag — matter put straight
Buddy explains!

The straight part
We know that "Nagging woman" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case nagging woman = termagant.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 TERMAGANT mean?
TERMAGANT noun- A quarrelsome, scolding woman, especially one who is old and shrewish.
- A boisterous, brawling, turbulent person, whether male or female.
- Quarrelsome and scolding or censorious; shrewish.