Great ape is right poorly in Indian state (7)
I believe the answer is:
gorilla
'great ape' is the definition.
(gorilla is a kind of great ape)
'right poorly in indian state' is the wordplay.
'right' becomes 'r' (common abbreviation).
'poorly' becomes 'ill' ('ill' can be a synonym of 'poorly').
'in' indicates putting letters inside.
'indian state' becomes 'goa' (I've seen this before).
'r'+'ill'='rill'
'rill' going inside 'goa' is 'GORILLA'.
'is' acts as a link.
(Other definitions for gorilla that I've seen before include "Powerful great ape" , "Large animal" , "Chest-beating primate" , "The biggest ape" , "Big ape" .)