Pressing new peers in appointment (9)
I believe the answer is:
desperate
'pressing' is the definition.
(thesaurus)
'new peers in appointment' is the wordplay.
'new' indicates an anagram.
'in' means one lot of letters goes inside another.
'appointment' becomes 'date' ('date' can be a synonym of 'appointment').
'peers' anagrammed gives 'esper'.
'esper' going within 'date' is 'DESPERATE'.
(Other definitions for desperate that I've seen before include "in a stew" , "Hopeless; extremely bad" , "Extremely bad or serious" , "Having lost all hope" , "Anguished" .)