Doctor doesn't start working out inspirational woman (7)
I believe the answer is:
euterpe
'inspirational woman' is the definition.
(one of the inspirational muses of Greek myth)
'doctor doesn't start working out' is the wordplay.
'doctor' becomes 'neuter'.
'doesn't start' means to remove the first letter.
'working out' becomes 'pe' (physical education).
'neuter' with its initial letter removed is 'euter'.
'euter'+'pe'='EUTERPE'
(Other definitions for euterpe that I've seen before include "One of the Muses" , "Inspiring goddess" , "Musical Muse" , "inspiring female" , "Inspiration for writer" .)