Girl from Addis Ababa initially eating egg (5)
I believe the answer is:
anita
'girl' is the definition.
'addis ababa initially eating egg' is the wordplay.
'initially' says to take the initial letters.
'eating' means one lot of letters goes inside another.
'egg' becomes 'nit' (a nit is an insect egg).
The initial letters of 'addis ababa' is 'aa'.
'aa' going around 'nit' is 'ANITA'.
'from' is the link.
(Other definitions for anita that I've seen before include "Female" , "-- Loos, US writer" , "-- Brookner, English novelist" , "- Loos (Gentlemen Prefer Blondes)" , "Woman" .)