The most common and most likely answer to this crossword clue is the 9 letter word MANLINESS
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The straight part
We know that "Virility" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case virility = manliness.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.
Crossword Answer definitions
MANLINESS noun- The quality of being manly; the set of qualities, traits and abilities considered appropriate to men (as opposed to women or children); similarity to a man.
- Male genitals.