Dubbed the king's foreign daughter (8)
I believe the answer is:
knighted
'dubbed' is the definition.
('knight' can be a synonym of 'dub')
'the king's foreign daughter' is the wordplay.
'foreign' indicates an anagram (foreign order of the letters).
'daughter' becomes 'd' (genealogical abbreviation).
'the'+'king'='theking'
'theking' is an anagram of 'knighte'.
'knighte'+'d'='KNIGHTED'
(Other definitions for knighted that I've seen before include "Given a title" , "Given an honour" , "Made a Sir" , "Dubbed 'Sir'" .)