The most common and most likely answer to this crossword clue is the 4 plus 5 letter word LORD BYRON
I've seen this crossword clue in The Times
L
O
R
D
B
Y
R
O
N
Buddy explains!

The straight part
We know that "Poet" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case poet = lord byron.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.