Dog, attorney and church reject daughter (9)

I believe the answer is:

dachshund

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'dog' is the definition.
(dachshund is a kind of dog)

'attorney and church reject daughter' is the wordplay.
'attorney' becomes 'DA' (District Attorney).
'and' means one lot of letters go next to another.
'church' becomes 'ch' (common abbreviation).
'reject' becomes 'shun' (I can't explain this - if you can you should give a lot more credence to this answer).
'daughter' becomes 'd' (genealogical abbreviation).
'da'+'ch'+'shun'+'d'='DACHSHUND'

Can you help me to learn more?

(Other definitions for dachshund that I've seen before include "low-down dog" , "Sausage 11" , "Sausage dog" , "Small dog (from Germany?)" , "Dad's hunch about the dog" .)

I've seen this clue in The Daily Express.

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