The most common and most likely answer to this crossword clue is the 6 letter word JULIET
I've seen this crossword clue in Financial Times
J
U
L
I
E
T
More clues leading to the result JULIET
- . Will’s lady has project involving story
- Like her tragic partner, she can be 3
- Project about romance for girl
- L with project involving romance
- Heroine, fair but no saint, covers up deception
- Project about story producing tragic heroine
- Heroine's got one alien after an endless month
- Dramatic lover putting India ahead?
- Heroine‘s false statement in project
Buddy explains!

The straight part
We know that "L" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case l = juliet.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.