Delighted, American introduced to remarkable dame (6)
I believe the answer is:
amused
'delighted' is the definition.
(thesaurus)
'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' going inside 'amed' is 'AMUSED'.
(Other definitions for amused that I've seen before include "Provoked mirth in" , "Mildly diverted or entertained" , "Tickled pink" , "happily occupied" , "Mildly entertained by Medusa" .)