The most common and most likely answer to this crossword clue is the 7 letter word GEORGIC
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More clues leading to the result GEORGIC
Buddy explains!

The straight part
We know that "Virgilian poem" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case virgilian poem = georgic.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 GEORGIC mean?
GEORGIC noun- A rural poem; a poetical composition on husbandry, containing rules for cultivating land, etc.
- Relating to rural affairs.