Many a scare to worry a body (7)
I believe the answer is:
carcase
'a body' is the definition.
(carcase is a kind of body)
'many a scare to worry' is the wordplay.
'many' becomes 'c' (C is the Roman numeral for 100).
'to worry' indicates an anagram.
'scare' with letters rearranged gives 'rcase'.
'c'+'a'+'rcase'='CARCASE'
(Other definitions for carcase that I've seen before include "Corpse" , "remains" , "Dead body of an animal" , "Have his - (D L Sayers)" , "Body of dead meat" .)