Inadmissible charge set out in public (7)
I believe the answer is:
outward
'set out in public' is the definition.
'outward' can be an answer for 'public' (thesaurus). I'm not certain of the 'set out in' bit.
'inadmissible charge' is the wordplay.
'inadmissible' becomes 'out'.
'charge' becomes 'ward' (both can mean a child in one's care).
'out'+'ward'='OUTWARD'
Can you help me to learn more?
(Other definitions for outward that I've seen before include "Away from centre" , "External; superficial" , "Towards the exterior" , "Externally facing" , "(In the direction of the) exterior" .)