Dead or possibly worshipped (6)
I believe the answer is:
adored
'worshipped' is the definition.
(synonyms)
'dead or possibly' is the wordplay.
'possibly' is an anagram indicator.
'dead'+'or'='deador'
'deador' anagrammed gives 'ADORED'.
(Other definitions for adored that I've seen before include "Cherished" , "Really liked" , "Doted on" , "Loved deeply" , "Idolised" .)