The most common and most likely answer to this crossword clue is the 4 plus 2 plus 4 letter word BIRD OF PREY
I've seen this crossword clue in Financial Times
B
I
R
D
O
F
P
R
E
Y
More clues leading to the result BIRD OF PREY
Buddy explains!
The straight part
We know that "She Stoops to Conquer/a hobby perhaps" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case she stoops to conquer/a hobby perhaps = bird of prey.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.