Captivated by first appearance by daughter (9)
I believe the answer is:
entranced
'captivated' is the definition.
(I know that captivated can be written as entranced)
'first appearance by daughter' is the wordplay.
'first' is a charade indicator (letters next to each other).
'appearance' becomes 'entrance' (both can mean an arrival).
'by daughter' becomes 'd' (genealogical abbreviation. I am not sure about the 'by' bit.).
'entrance' put next to 'd' is 'ENTRANCED'.
'by' is the link.
Can you help me to learn more?
(Other definitions for entranced that I've seen before include "hypnotised" , "Fascinated" , "Delighted" , "Sent" , ""Spellbound"?" .)