Crossword Genius

Genders we reassigned for flyer (5,4)

Ross

I believe the answer is:

sedge wren

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'flyer' is the definition.
Although both the answer and definition are singular nouns, I don't see how they can define each other.

'genders we reassigned' is the wordplay.
'genders we' anagrams to 'SEDGE WREN'.
Though, I am unsure how this is indicated.

'for' acts as a link.

Can you help me to learn more?

I've seen this clue in The Independent.
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