Answer question the setter's rejected at first as poorly composed (7)
I believe the answer is:
aquiver
'answer question the setter's rejected at first as poorly composed' is the definition.
I can't judge whether this definition defines the answer.
'answer question the setter's rejected at first' is the wordplay.
'answer' becomes 'a' (abbreviation eg in Q and A).
'question' becomes 'qu'.
'the setter's' becomes 'ive' ('I've', referring to the crossword setter).
'at first' indicates taking the first letters.
The initial letter of 'rejected' is 'r'.
'a'+'qu'+'ive'+'r'='AQUIVER'
Can you help me to learn more?
(Other definitions for aquiver that I've seen before include "shaking" , "shuddering" , "Flickering" , "far from steady" , "Trembling" .)