Special educational needs bothered governing body (6)
I believe the answer is:
senate
'governing body' is the definition.
(I've seen this before)
'special educational needs bothered' is the wordplay.
'special educational needs' becomes 'SEN' (abbreviation used in schools).
'bothered' becomes 'ate' (something worrying is said to eat at you).
'sen'+'ate'='SENATE'
(Other definitions for senate that I've seen before include "Legislative assembly" , "House where politicians" , "Governors here" , "State assembly" , "Second house of Government" .)