The most common and most likely answer to this crossword clue is the 4 letter word ENID
I've seen this crossword clue in The Daily Telegraph
E
N
I
D
More clues leading to the result ENID
- “Eat up, girl!”
- Girl repelled Geordie with primitive instincts
- The girl in row five standing up?
- Girl to take course after turning up
- Girl to take courses on return
- Woman making some men idiotic
- Lady turned up naked in exotic shows
- Woman to stop hugging Tramp
- Girl from Southwold, in England, going west
- . . . . eat up, madam
Buddy explains!
The straight part
We know that "Name of woman" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case name of woman = enid.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.