American introduced to remarkable dame is delighted (6)
I believe the answer is:
amused
'is delighted' is the definition.
(I've seen this before)
'american introduced to remarkable dame' is the wordplay.
'american' becomes 'us'.
'introduced to' is an insertion indicator.
'remarkable' indicates an anagram.
'dame' anagrammed gives 'amed'.
'us' put inside 'amed' is 'AMUSED'.
(Other definitions for amused that I've seen before include "Tickled pink" , "Pleasantly occupied" , "Delighted" , "Beguiled" , "was entertaining" .)