The most common and most likely answer to this crossword clue is the 4 letter word VERA
I've seen this crossword clue in The Daily Telegraph
V
E
R
A
More clues leading to the result VERA
- Name of woman a cleric raised
- Woman appears in very short time
- Detective on TV somewhat above radio
- Meat cut outside King’s Lynn, say
- Girl upset a clergyman
- She’s over acting in part
- In truth, she goes to the city
- Woman offering half-truth
- This woman, in truth, is at the head of a big place
- A religious sitcom returning as a police TV drama
Buddy explains!
The straight part
We know that "Lady" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case lady = vera.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.