Month in which a fast woman tempted to enter races (5)

I believe the answer is:

tevet

I'm a little stuck... Click here to teach me more about this clue!

'month in which a fast' is the definition.
'Tevet' can be an answer for 'month' (Tevet is an example). I'm unsure of the remainder of the definition.

'woman tempted to enter races' is the wordplay.
'woman tempted' becomes 'eve'.
'to enter' means one lot of letters goes inside another.
'races' becomes 'tt' (Isle of Man Tourist Trophy races).
'eve' put inside 'tt' is 'TEVET'.

Can you help me to learn more?

(Another definition for tevet that I've seen is " month in Jerusalem".)

I've seen this clue in The Times.

Want a hint initially instead of a full solution? Install my app