Crossword Genius

Out of doors, old songwriter may do so (4-3)

Ross

I believe the answer is:

open-air

'out of doors' is the definition.
(I've seen this before)

I cannot understand how the rest of the clue works.

(Other definitions for open-air that I've seen before include "Outdoor" , "not below roof" , "Exposed to the elements" , "Alfresco" , "outside" .)

I've seen this clue in The Times.
Want a hint initially instead of a full solution? Install my app