Pressure to elevate admiration (6)
I believe the answer is:
praise
'admiration' is the definition.
(I have seen 'Express admiration' mean 'praise' so perhaps 'admiration' could also mean 'praise')
'pressure to elevate' is the wordplay.
'pressure' becomes 'p' (abbreviation).
'to elevate' becomes 'raise' (synonyms).
'p'+'raise'='PRAISE'
(Other definitions for praise that I've seen before include "Applaud, commend" , "Aspire (anag)" , "Speak approvingly of" , "Kudos, pat on the back" , "Approve and commend" .)