Paddy's social worker received by the president? Not quite (7)
I believe the answer is:
tantrum
'paddy's' is the definition.
(thesaurus)
'social worker received by the president? not quite' is the wordplay.
'social worker' becomes 'ant' (I've seen this before).
'received by' means one lot of letters goes inside another.
'the president?' becomes 'trump' (Donald Trump).
'not quite' means to remove the last letter.
'trump' with its final letter taken away is 'trum'.
'ant' going into 'trum' is 'TANTRUM'.
(Other definitions for tantrum that I've seen before include "Wobbly" , "Fit of ill-temper" , "Burst of rage" , "Childish display of temper" , "Paddy" .)