Accepted right after professional training (6)
I believe the answer is:
proper
'accepted' is the definition.
(thesaurus)
'right after professional training' is the wordplay.
'right' becomes 'r' (common abbreviation).
'after' means one lot of letters go next to another.
'professional' becomes 'pro' (synonyms).
'training' becomes 'PE' (Physical Education).
'pro'+'pe'='prope'
'r' put after 'prope' is 'PROPER'.
(Other definitions for proper that I've seen before include "Actual" , "Seemly" , "Appropiate, right" , "Conforming to etiquette" , "Right, correct or appropriate" .)