Doctor doesn't start working out inspirational woman (7)
I believe the answer is:
Here is my best explanation:
'inspirational woman' is the definition.
(one of the inspirational muses of Greek myth)
'doctor doesn't start working out' is the subsidiary indication.
'doctor' becomes 'neuter'.
'doesn't start' means to remove the first letter.
'working out' becomes 'pe' (physical education).
'neuter' with its initial letter taken off is 'euter'.
(Other definitions for euterpe that I've seen before include "One of the Muses", "Muse of lyric poetry and music", "Inspiration for writer", "Goddess", "Inspiring goddess", "inspiring female" and "Musical Muse".)