The most common and most likely answer to this crossword clue is the 3 plus 4 letter word OUR LADY
O
U
R
L
A
D
Y
More clues leading to the result OUR LADY
- Mary’s 27-yard jogging
- Every 60 minutes, say, screening plug for Madonna
- Not exactly you to hold Rex, a boy, as an object of veneration
- Revered figure, royal, almost due to go walkabout
- Madonna is frequently topless without notice
- Virgin Trains carrying youth past Oxford University
- Three quarters of hour setting down song about daughter — or the Virgin Mary?
- Say, Madonna will start tour late collecting money by daybreak
Buddy explains!

The straight part
We know that "Virgin" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case virgin = our lady.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.