Train lady ordered, showing brightness (9)

I believe the answer is:

radiantly

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'train lady ordered showing brightness' is the definition.
I can't tell whether this defines the answer.

'train lady ordered' is the wordplay.
'ordered' indicates an anagram.
'train'+'lady'='trainlady'
'trainlady' anagrammed gives 'RADIANTLY'.

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I've seen this clue in The Daily Express.

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