Public prepared to wait for case that's not admitted (10)
I believe the answer is:
outpatient
'case that's not admitted' is the definition.
(patient not admitted to a hospital)
'public prepared to wait' is the wordplay.
'public' becomes 'out' (I've seen this before).
'prepared to wait' becomes 'patient' (I've seen this before).
'out'+'patient'='OUTPATIENT'
'for' is the link.
(Other definitions for outpatient that I've seen before include "Person attending hospital" , "one needs treatment" , "One treated without being admitted to hospital" , "travelling case" , "Hospital visitor" .)