Goddess: I’m Swiss, oddly (4)
I believe the answer is:
isis
'goddess' is the definition.
(thesaurus)
'i'm swiss oddly' is the wordplay.
'oddly' indicates alternate letters.
'im'+'swiss'='imswiss'
The alternating letters of 'imswiss' are 'ISIS'.
(Other definitions for isis that I've seen before include "Egyptian deity" , "Jihadists" , "Oxford's second crew" , "To be, to be an Egyptian goodess" , "Revered figure" .)