Flyer shot biker in Waterloo (7,8)

I believe the answer is:

rainbow lorikeet

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

'shot biker in waterloo' is the wordplay.
'shot' indicates anagramming the letters.
'biker'+'in'+'waterloo'='bikerinwaterloo'
'bikerinwaterloo' is an anagram of 'RAINBOW LORIKEET'.

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I've seen this clue in The Daily Express.

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