The most common and most likely answer to this crossword clue is the 4 plus 3 plus 6 letter word SPIN THE BOTTLE
I've seen this crossword clue in The Times
S
P
I
N
T
H
E
B
O
T
T
L
E
More clues leading to the result SPIN THE BOTTLE
- Wild hen parties are missing courage to play this?
- That girl drinking beer with courage will be game
- Nerve shown by female downing pint in party game
- She gulps beer with courage in drinking game
- Drink in best hotel prepared for 2
- Woman drinking beer and spirit is game for romance
- Female downing two halves — Courage? — in party game
Buddy explains!

The straight part
We know that "game for romance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case game for romance = spin the bottle.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.