Briefly, a Parisian hotspot cooked no red meat (5-4)
I believe the answer is:
notre-dame
'briefly a parisian hotspot' is the definition.
I can't tell whether this defines the answer.
'cooked no red meat' is the wordplay.
'cooked' is an anagram indicator (letters cooked into a new form).
'no'+'red'+'meat'='noredmeat'
'noredmeat' anagrammed gives 'NOTRE-DAME'.
Can you help me to learn more?
(Other definitions for notre-dame that I've seen before include "Parisian building" , "tourist spot" .)