Dirty dog's into special lady – no boy! (6)

I believe the answer is:

smutty

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'dirty dog's' is the definition.
'smutty' can be an answer for 'dirty' (I've seen this before). I am unsure of the 'dog's' bit.

'special lady no boy' is the wordplay.
'special lady no' becomes 'smut' (I am not sure about this - if you are sure you should believe this answer much more).
'boy' becomes 'Ty'.
'smut'+'ty'='SMUTTY'

'into' is the link.

Can you help me to learn more?

(Other definitions for smutty that I've seen before include "Improper" , "Filthy" , "Mildly obscene" , "Dirty" , "Blue" .)

I've seen this clue in The Guardian.

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