Be without special term for fanatic (9)
I believe the answer is:
extremist
'fanatic' is the definition.
(thesaurus)
'be without special term' is the wordplay.
'be' becomes 'exist' ('exist' can be a synonym of 'be').
'without' means one lot of letters goes inside another ('without' can be similar in meaning to 'outside').
'special' indicates an anagram.
'term' with letters rearranged gives 'trem'.
'exist' placed around 'trem' is 'EXTREMIST'.
'for' acts as a link.
(Other definitions for extremist that I've seen before include "Ultra" , "One far from moderate" , "His views are anything but neutral" , "outwardly fanatical" , "One with highly non-standard views" .)