Peer shows no belief, oddly (5)
I believe the answer is:
noble
'peer' is the definition.
(thesaurus)
'no belief oddly' is the wordplay.
'oddly' means one should take alternating letters.
The alternating letters of 'belief' are 'ble'.
'no'+'ble'='NOBLE'
'shows' acts as a link.
(Other definitions for noble that I've seen before include "Dignified" , "Illustrious, peer" , "August" , "Magnificent old coin" , "Person of high rank" .)