Impressively dignified model son conquered heart (10)
I believe the answer is:
statuesque
'impressively dignified' is the definition.
'statuesque' can be an answer for 'dignified' (thesaurus). I am unsure of the 'impressively' bit.
'model son conquered heart' is the wordplay.
'model son' becomes 'statues' (I can't explain this - if you can you should give a lot more credence to this answer).
'heart' means to look at the middle letters.
The central letters of 'conquered' are 'que'.
'statues'+'que'='STATUESQUE'
Can you help me to learn more?
(Other definitions for statuesque that I've seen before include "(Of a woman) tall and dignified" , "imposing" .)