Scandalous judge dismissed from career prospect (7)
I believe the answer is:
obscene
'scandalous' is the definition.
'judge dismissed from career prospect' is the wordplay.
'judge' becomes 'j'.
'dismissed from' suggests deleting specific letters.
'career' becomes 'job'.
'prospect' becomes 'scene' ('scene' can be a synonym of 'prospect').
'job' with 'j' taken out is 'ob'.
'ob'+'scene'='OBSCENE'
(Other definitions for obscene that I've seen before include "coarse!" , "Rude" , "Repugnant; indecent" , "off colour?" , "Sexually offensive" .)