Broadcast about manor lacking in depth (7)
I believe the answer is:
shallow
'lacking in depth' is the definition.
(I've seen this before)
'broadcast about manor' is the wordplay.
'broadcast' becomes 'sow' (sowing is a kind of broadcasting).
'about' indicates putting letters inside.
'manor' becomes 'hall' (I can't justify this - if you can you should give a lot more credence to this answer).
'sow' going around 'hall' is 'SHALLOW'.
Can you help me to learn more?
(Other definitions for shallow that I've seen before include "Of no great depth" , "Trivial" , "incapable of serious thought" , "Not profound" , "Without depth" .)