Offensive northern radio broadcast hosts (6)
I believe the answer is:
inroad
'offensive' is the definition.
(I've seen this before)
'northern radio broadcast hosts' is the wordplay.
'northern' becomes 'n' (abbreviation e.g. N. Ireland).
'broadcast' indicates anagramming the letters.
'hosts' means one lot of letters goes inside another.
'radio' is an anagram of 'iroad'.
'n' inserted inside 'iroad' is 'INROAD'.
(Other definitions for inroad that I've seen before include "One's intrusive" , "Offensive" , "Sudden attack made into a country" , "Ordain (anag.)" , "Incursion, raid" .)