No admirers swoon then die, perhaps (10)

I believe the answer is:

randomiser

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'die perhaps' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'no admirers swoon' is the wordplay.
'no admirers' anagrams to 'RANDOMISER'.
But, I am not clear how this is indicated.

'then' acts as a link.

Can you help me to learn more?

I've seen this clue in The Guardian.

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