The most common and most likely answer to this crossword clue is the 7 plus 4 letter word LEADING LADY
I've seen this crossword clue in The Times
L
E
A
D
I
N
G
L
A
D
Y
Buddy explains!

The straight part
We know that "Film Queen/Elizabeth II" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case film queen/elizabeth ii = leading 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.