Connection doesn't include German wife (5)
I believe the answer is:
bride
'wife' is the definition.
(I have seen 'Wife of groom ' mean 'bride' so perhaps 'wife' could also mean 'bride')
'connection doesn't include german' is the wordplay.
'connection doesn't' becomes 'brie' (I am not sure about this - if you are sure you should believe this answer much more).
'include' means one lot of letters goes inside another.
'german' becomes 'd' (abbreviation for Deutschland ie Germany).
'brie' going around 'd' is 'BRIDE'.
Can you help me to learn more?
(Other definitions for bride that I've seen before include "Be rid of the married lady" , "Groom's partner" , "The Woman In White, perhaps?" , "Newlywed" , "Woman getting wed" .)