District excluding the majority of public disorder (6)
I believe the answer is:
barrio
'district' is the definition.
(I have seen 'Spanish district' mean 'barrio' so perhaps 'district' could also mean 'barrio')
'excluding the majority of public disorder' is the wordplay.
'excluding' becomes 'bar' (I've seen this in other clues).
'the majority of' means to remove the last letter (most but not all of the word is used).
'public disorder' becomes 'riot' (I've seen this before).
'riot' with its last letter taken off is 'rio'.
'bar'+'rio'='BARRIO'
(Other definitions for barrio that I've seen before include "Town district in Spain" , "District in Spanish-speaking town or city" , "Spanish area" , "Town's Spanish quarter" , "Spanish-speaking quarter in a US town" .)