The most common and most likely answer to this crossword clue is the 2 plus 4 plus 2 letter word SO HELP ME
S
O
H
E
L
P
M
E
Buddy explains!
The straight part
We know that "Exasperated utterance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case exasperated utterance = so help me.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.