One in Paris serving up puddings without a care (10)
I believe the answer is:
unstressed
'without a care' is the definition.
I can't tell whether this defines the answer.
'one in paris serving up puddings' is the wordplay.
'one in paris' becomes 'un' ('one' in French).
'serving up' says the letters should be written backwards.
'puddings' becomes 'desserts' (I've seen this before).
'desserts' reversed gives 'stressed'.
'un'+'stressed'='UNSTRESSED'
Can you help me to learn more?
(Another definition for unstressed that I've seen is " chilled".)