Poe left Ethiopia moving to this country? (5)
I believe the answer is:
haiti
'this country?' is the definition.
(Haiti is a country)
'poe left ethiopia moving' is the wordplay.
'left' indicates named letters should be taken away.
'moving' indicates an anagram (letters are moved around).
'ethiopia' with 'poe' taken out is 'thiia'.
'thiia' is an anagram of 'HAITI'.
'to' is the link.
(Other definitions for haiti that I've seen before include "Country in W Indies, capital Port-au-Prince" , "Caribbean country, capital Port-au-Prince" , "Western part of Hispaniola" , "earthquake-hit area" , "Island of West Indies" .)