The most common and most likely answer to this crossword clue is the 11 letter word PRESTIGIOUS
I've seen this crossword clue in The Times
P
R
E
S
T
I
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S
Buddy explains!
The straight part
We know that "Respected" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case respected = prestigious.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 PRESTIGIOUS mean?
PRESTIGIOUS adjective- Of high prestige.