Male or female Lydians reimagined by poet (7)

I believe the answer is:
'male or female' is the definition.
(unisex name)
'lydians reimagined by poet' is the wordplay.
'lydians' anagrams to 'LINDSAY'.
However, I'm not clear how the anagram is indicated.
Can you help me to learn more?
(Another definition for lindsay that I've seen is "Girl".)
I've seen this clue in Independent.