Scottish city woman in a Swiss city (8)
I believe the answer is:
aberdeen
'scottish city' is the definition.
(Aberdeen is a city in Scotland)
'woman in a swiss city' is the wordplay.
'woman' becomes 'Dee' (woman's name).
'in' indicates putting letters inside.
'swiss city' becomes 'bern' (Bern is the capital of Switzerland).
'a'+'bern'='abern'
'dee' put within 'abern' is 'ABERDEEN'.
(Other definitions for aberdeen that I've seen before include "Balmoral's county" , "Grampian city and port" , "Scots E. coast city" , "city in Europe" , "town in Scotland" .)