Superficial broadcast about manor-house? (7)
I believe the answer is:
shallow
'superficial' is the definition.
(similar in meaning)
'broadcast about manor-house?' is the wordplay.
'broadcast' becomes 'sow' (sowing is a kind of broadcasting).
'about' indicates putting letters inside.
'manor house?' becomes 'hall' (manor house is a kind of hall).
'sow' enclosing 'hall' is 'SHALLOW'.
(Other definitions for shallow that I've seen before include "Of waters, not deep" , "Without depth" , "Not profound" , "Having little depth" , "Insincere" .)