The most common and most likely answer to this crossword clue is the 6 letter word IMOGEN
I've seen this crossword clue in Financial Times
I
M
O
G
E
N
More clues leading to the result IMOGEN
- Her mole’s uncovered one way of working with information
- Name of lady, one married old dope
- Girl lasts in sumo wrestling among island people
- Girl: Alan’s love story
- One dope hugs second daughter in Shakespeare
- Girl — I turn with repulsion, embraced by the opposite sex
- Girl provides info after one second
- Cymbeline’s daughter – one that’s married and gone off
- King’s daughter in play – I turn up surrounded by soldiers
Buddy explains!

The straight part
We know that "King’s daughter in play" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case king’s daughter in play = imogen.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.