The most common and most likely answer to this crossword clue is the 8 plus 3 letter word POINTING OUT
I've seen this crossword clue in The Daily Telegraph
P
O
I
N
T
I
N
G
O
U
T
Buddy explains!
The straight part
We know that "Indicating/an error with the way the psalm is being sung" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case indicating/an error with the way the psalm is being sung = pointing out.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.