Delighted daughter by the front door, say (9)
I believe the answer is:
entranced
'delighted' is the definition.
(I know that delighted can be written as entranced)
'daughter by the front door say' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'by' means one lot of letters go next to another.
'the front door say' becomes 'entrance' (front door is a kind of entrance).
'd' after 'entrance' is 'ENTRANCED'.
(Other definitions for entranced that I've seen before include "Delighted" , "Transported" , ""Spellbound"?" , "Filled with wonder" , "hypnotised" .)