Period hat suited divine beauty (9)

I believe the answer is:

aphrodite

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

'beauty' is the definition.
(I've seen this before)

'period hat suited divine' is the wordplay.
'period hat' can be anagrammed to 'APHRODITE'.
But, I am unsure how the anagram is indicated.

Can you help me to learn more?

(Other definitions for aphrodite that I've seen before include "Sex goddess" , "Paris gave her an apple" , "Atrophied like Greek goddess of love" , "Greek version of Roman Venus" , "Atrophied (anag.)" .)

I've seen this clue in the Sydney Morning Herald.

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