Performance involving Roman couple in which female is greatly exalted (7)
I believe the answer is:
deified
'greatly exalted' is the definition.
'performance involving roman couple in which female' is the wordplay.
'performance' becomes 'deed' (I've seen this in other clues).
'involving' indicates putting letters inside.
'roman couple' becomes 'ii' (Roman numerals for two).
'in which' indicates putting letters inside.
'female' becomes 'f' (abbreviation).
'ii' enclosing 'f' is 'ifi'.
'deed' going around 'ifi' is 'DEIFIED'.
'is' is the link.
(Other definitions for deified that I've seen before include "exalted" , "Made into a god" , "Being raised" , "Edified, being treated like a god" , "Worshipped as a god" .)