Respected, a daughter bogged down (7)
I believe the answer is:
admired
'respected' is the definition.
(admiring is a kind of respecting)
'a daughter bogged down' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'bogged down' becomes 'mired' ('mire' can be a synonym of 'bog down').
'a'+'d'+'mired'='ADMIRED'
(Other definitions for admired that I've seen before include "regarded with respect" , "Esteemed" , "Held in high regard" , "Popular" , "Looked up to" .)