Idiot daughter's shock going topless (4)
I believe the answer is:
dolt
'idiot' is the definition.
(I know that idiot can be written as dolt)
'daughter's shock going topless' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'shock' becomes 'jolt' (I've seen this before).
'going topless' means to remove the first letter.
'jolt' with its initial letter taken away is 'olt'.
'd'+'olt'='DOLT'
(Other definitions for dolt that I've seen before include "Halfwit" , "Dunce" , "Dull or stupid fellow" , "Stupid person" , "Idiot" .)