Biblical books exist to back lyric inspiration (5)
I believe the answer is:
erato
'lyric inspiration' is the definition.
'Erato' can be an answer for 'inspiration' (one of the muses in Greek mythology). I'm not sure about the 'lyric' bit.
'biblical books exist to back' is the wordplay.
'biblical books' becomes 'OT' (Old Testament).
'exist' becomes 'are' ('they exist' means 'they are').
'to back' shows that the letters should be reversed in order.
'ot'+'are'='otare'
'otare' back-to-front is 'ERATO'.
Can you help me to learn more?
(Other definitions for erato that I've seen before include "poetical inspiration" , "Muse of lyric love-poetry" , "daughter of Zeus" , "inspiration for poetry" , "Source of poetic inspiration" .)