Haile Selassie's first exotic name (6)
I believe the answer is:
sheila
'name' is the definition.
(I've seen this before)
'haile selassie's first exotic' is the wordplay.
'first' indicates taking the first letters.
'exotic' indicates an anagram.
The initial letter of 'selassies' is 's'.
'haile'+'s'='hailes'
'hailes' anagrammed gives 'SHEILA'.
(Other definitions for sheila that I've seen before include "Girl's name (any Oz girl?)" , "Victorian woman, perhaps" , "Informally, a girl or woman in Australia" , "Woman in Australian slang" , "Woman (Aus. colloq.)" .)