The most common and most likely answer to this crossword clue is the 4 letter word ANNE
I've seen this crossword clue in The Guardian
A
N
N
E
More clues leading to the result ANNE
- Queen is appropriate in disregarding Times
- Armenian toyed with European girl
- Flag trimmed for queen
- Queen’s fashion knowing no bounds
- Queen’s manner showing no extremes
- She features in American newspaper
- Princess featured in Equestrian News?
- Old queen with no love for a new one
- One-time ruler of style and manners, to some extent
- Article read aloud for Queen
Buddy explains!

The straight part
We know that "Queen" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case queen = anne.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.