The most common and most likely answer to this crossword clue is the 4 plus 9 letter word HUNT SABOTEURS
I've seen this crossword clue in The Guardian
H
U
N
T
S
A
B
O
T
E
U
R
S
Buddy explains!

The straight part
We know that "opponents of blood sports" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case opponents of blood sports = hunt saboteurs.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.