At home, somehow courted daughter and proposed (10)
I believe the answer is:
introduced
'proposed' is the definition.
(introducing is a kind of proposing)
'at home somehow courted daughter' is the wordplay.
'at home' becomes 'in' ('in' can be similar in meaning to 'at home').
'somehow' indicates an anagram.
'daughter' becomes 'd'.
'courted' with letters rearranged gives 'troduce'.
'in'+'troduce'+'d'='INTRODUCED'
'and' acts as a link.
(Other definitions for introduced that I've seen before include "Brought into use" , "Inserted" .)