Brooding about fellow with one eye (4)

I believe the answer is:

odin

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'fellow with one eye' is the definition.
Although both the answer and definition are singular nouns, I don't see how they can define each other.

'brooding about' is the wordplay.
'about' indicates the answer is hidden within the clue (the clue goes around or about the answer).
'ODIN' is hidden in the letters of 'brooding'.

Can you help me to learn more?

(Other definitions for odin that I've seen before include "Chief Norse god" , "Scandinavian war god" , "Old Scandinavian" , "Supreme god of Scandanavian myth" , "Norse god, husband of Frigg, father of Thor" .)

I've seen this clue in The Irish Times.

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