The most common and most likely answer to this crossword clue is the 2 plus 2 plus 6 letter word GO TO BLAZES
I've seen this crossword clue in The Daily Telegraph
G
O
T
O
B
L
A
Z
E
S
More clues leading to the result GO TO BLAZES
Buddy explains!
The straight part
We know that "Curse" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case curse = go to blazes.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.