Maybe crow or rook beset by modern ailment (6)

I believe the answer is:

corvid

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'maybe crow' is the definition.
I know that 'crow' relates to this answer.

'or rook beset by modern ailment' is the wordplay.
I cannot really understand how this works, but
'or' is present in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

I've seen this clue in The Times.

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