Modern man welcoming daughter after coffee (6-3)
I believe the answer is:
latter-day
'modern' is the definition.
(I've seen this before)
'man welcoming daughter after coffee' is the wordplay.
'man' becomes 'ray' (Man Ray was a 20th-century artist).
'welcoming' indicates putting letters inside (in sense of 'inviting in').
'daughter' becomes 'd' (genealogical abbreviation).
'after' means one lot of letters go next to another.
'coffee' becomes 'latte' (type of coffee drink).
'ray' going around 'd' is 'rday'.
'rday' after 'latte' is 'LATTER-DAY'.
(Other definitions for latter-day that I've seen before include "Mormons belong to The Church of the . . . . . .-. . . Saints" , "Belonging to recent times" , "Church of Jesus Christ of ... Saints" , "Modern" , "Contemporary" .)