Not in charge? That's apparent (7)
I believe the answer is:
outward
'apparent' is the definition.
(I've seen this before)
'not in charge?' is the wordplay.
'not in' becomes 'out' ('out' is the opposite to 'in').
'charge?' becomes 'ward' (both can mean a child in one's care).
'out'+'ward'='OUTWARD'
'that's' is the link.
(Other definitions for outward that I've seen before include "Ostensible" , "Away from centre" , "(In the direction of the) exterior" , "Apparent" , "Externally facing" .)