The most common and most likely answer to this crossword clue is the 5 letter word FEMME
I've seen this crossword clue in The Times
F
E
M
M
E
More clues leading to the result FEMME
Buddy explains!

The straight part
We know that "a Parisienne" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a parisienne = femme.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 FEMME mean?
FEMME noun- A woman, a wife; a young woman or girl.
- A lesbian or other queer woman whose appearance, identity etc. is seen as feminine as opposed to butch.
- A person whose gender is feminine-leaning, such as a feminine non-binary person.
- (entertainment) Pertaining to a femme; feminine, female.
- Effeminate (of a man).
- Characteristic of a feminine lesbian or queer woman.