The most common and most likely answer to this crossword clue is the 10 letter word REPUGNANCE
I've seen this crossword clue in The Guardian
R
E
P
U
G
N
A
N
C
E
More clues leading to the result REPUGNANCE
Buddy explains!

The straight part
We know that "disgust" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case disgust = repugnance.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.
What does REPUGNANCE mean?
REPUGNANCE noun- Extreme aversion, repulsion.
- Contradiction, inconsistency, incompatibility, incongruity; an instance of such.