Brilliant nurses opposed to support from just one side (10)
I believe the answer is:
cantilever
'support from just one side' is the definition.
(type of structural support)
'brilliant nurses opposed' is the wordplay.
'brilliant' becomes 'clever' (I've seen this before).
'nurses' is an insertion indicator (nurse can mean to hold onto or harbour).
'opposed' becomes 'anti' (similar in meaning).
'clever' enclosing 'anti' is 'CANTILEVER'.
'to' is the link.
(Other definitions for cantilever that I've seen before include "bridge design" , "Beam supported at only one end" , "Projecting beam fixed at one end" , "Projecting mass" , "support at one end" .)