Crossword Genius

Played out an act on the radio (6)

Ross

I believe the answer is:

effete

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

'played out' is the definition.
(thesaurus)

'an act on the radio' is the wordplay.
I cannot quite see how this works, but
'act' could be 'fete' (fete is a kind of act) and 'fete' is present in the answer.
The remaining letters 'ef' is a valid word which might be clued in a way I don't see.
This may be the basis of clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for effete that I've seen before include "Ineffective, decadent" , "Spent; degenerate" , "Over-refined and ineffectual" , "Feeble, weak" , "Feeble, lacking vitality" .)

I've seen this clue in The Hindu.
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