The most common and most likely answer to this crossword clue is the 11 letter word INTOLERABLE
I've seen this crossword clue in The Daily Telegraph
I
N
T
O
L
E
R
A
B
L
E
More clues leading to the result INTOLERABLE
Buddy explains!

The straight part
We know that "beyond the pale" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case beyond the pale = intolerable.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 INTOLERABLE mean?
INTOLERABLE adjective- Not tolerable; not capable of being borne or endured
- Extremely offensive or insulting.