Anger in an east Texas city (7)
I believe the answer is:
abilene
'texas city' is the definition.
(I've seen this in another clue)
'anger in an east' is the wordplay.
'anger' becomes 'bile' (I've seen this in another clue).
'in' indicates putting letters inside.
'east' becomes 'e' (abbreviation).
'bile' placed into 'an' is 'abilen'.
'abilen'+'e'='ABILENE'
(Other definitions for abilene that I've seen before include "US city" , "Texan city" , "Kansas City?" , "Texas city" .)