The most common and most likely answer to this crossword clue is the 3 plus 4 plus 3 plus 5 letter word GET INTO HOT WATER
I've seen this crossword clue in The Daily Telegraph
G
E
T
I
N
T
O
H
O
T
W
A
T
E
R
More clues leading to the result GET INTO HOT WATER
Buddy explains!

The straight part
We know that "Incur wrath" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case incur wrath = get into hot water.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.