The most common and most likely answer to this crossword clue is the 6 letter word DEPUTE
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More clues leading to the result DEPUTE
Buddy explains!

The straight part
We know that "Delegate" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case delegate = depute.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 DEPUTE mean?
DEPUTE noun- Deputy
- To assign (someone or something) to or for something
- To delegate (a task, etc.) to a subordinate
- To deputize (someone), appoint as deputy
- To appoint; to assign; to choose