Novelist and critic cross, furious with English city (4,5,4)
I believe the answer is:
ford madox ford
'novelist and critic' is the definition.
'cross furious with english city' is the wordplay.
'cross' becomes 'ford' (fording is a kind of crossing).
'furious' becomes 'mad' (I've seen this before).
'with' means one lot of letters go next to another.
'english city' becomes 'oxford' (I've seen this before).
'ford'+'mad'+'oxford'='FORD MADOX FORD'
(Other definitions for ford madox ford that I've seen before include "Writer" , "English novelist" .)