Crossword Genius

Divine female thus entertained by Carmen? (6)

Ross

I believe the answer is:

athena

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

'divine' is the definition.
The answer and definition can be both people as well as being singular nouns.
Maybe you can see a link between them that I can't see?

'female thus entertained by carmen?' is the wordplay.
I cannot really understand how this works, but
'female' could be 'hen' (female chicken) and 'hen' is present in the answer.
'by' could be 'at' and 'at' is found in the answer.
A single letter 'a' remains which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for athena that I've seen before include "wise but fierce goddess" , "Greek goddess of a capital city" , "Greek goddess of wisdom etc." , "One-time goddess" .)

I've seen this clue in The Independent.
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