The most common and most likely answer to this crossword clue is the 10 letter word BUCKINGHAM
B
U
C
K
I
N
G
H
A
M
More clues leading to the result BUCKINGHAM
Buddy explains!

The straight part
We know that "one’s (the queen’s) haunt" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one’s (the queen’s) haunt = buckingham.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.