Story accepted by an immigrant perhaps (5)
I believe the answer is:
alien
'immigrant perhaps' is the definition.
I can't tell whether this definition defines the answer.
'story accepted by an' is the wordplay.
'story' becomes 'lie' (story can mean a fabrication).
'accepted by' is an insertion indicator (inserted letters are accepted).
'lie' inserted inside 'an' is 'ALIEN'.
Can you help me to learn more?
(Other definitions for alien that I've seen before include "Being from another world" , "coming from overseas" , "movie!" , "Foreigner, outsider" , "ET" .)