The most common and most likely answer to this crossword clue is the 7 letter word EUTERPE
I've seen this crossword clue in The Times
E
U
T
E
R
P
E
More clues leading to the result EUTERPE
- Inspiring female, unnamed, having no sex before gym
- Inspiring goddess before Tuesday put up with eccentricity
- Lacking sex, topless exercise gives inspiration to musicians
- Scrambling up tree, fourth of date palms
- Muse quiet in tree swaying at country club?
- Doctor doesn’t start working out inspirational woman
- She inspires musicians, top pair leaving Blue Peter, sadly
- Doctor favourite to avoid extremes she’s inspiring
- Energy required in scrambling up tree, palm genus
- Goddess, apparently sexless, heading off to gym
Buddy explains!

The straight part
We know that "Inspiring female" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case inspiring female = euterpe.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.