Crossword Genius

But a tired-looking old carpet may not (4,1,3)

Ross

I believe the answer is:

have a nap

I'm a little stuck... Click here to teach me more about this clue!

'tired-looking old carpet may not' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'but a' is the wordplay.
I cannot quite see how this works, but
'a' could be 'an' and 'an' is found in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

I've seen this clue in The Globe and Mail.
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