A great many shot out (4)
I believe the answer is:
host
'a great many' is the definition.
(as in 'a host of golden daffodils')
'shot out' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'shot' with letters rearranged gives 'HOST'.
(Other definitions for host that I've seen before include "Crowd-entertainer" , "Multitude - emcee" , "Party giver" , "Multitude -- MC" , "Present" .)