Crossword Genius

Daughter, being devil-possessed or divine? (6)

Ross

I believe the answer is:

deduce

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

'divine?' is the definition.
(thesaurus)

'daughter being devil-possessed' is the wordplay.
I cannot really see how this works, but
'daughter' could be 'd' (genealogical abbreviation) and 'd' is found within the answer.
'being' could be 'duce' (Duce is an example) and 'duce' is present in the answer.
A single letter 'e' remains which might be clued in a way I don't see.
This explanation may well be incorrect...

'or' is the link.

Can you help me to learn more?

(Other definitions for deduce that I've seen before include "Infer like Sherlock" , "Arrive at conclusion from studying facts" , "Infer from the evidence" , "Arrive at conclusion through reasoning, as Sherlock Holmes did" , "Reason through logic" .)

I've seen this clue in The Times.
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