Cross husband yearning primarily to meet new wife shortly (6)
I believe the answer is:
hybrid
'cross' is the definition.
(I know that cross can be written as hybrid)
'husband yearning primarily to meet new wife shortly' is the wordplay.
'primarily' says to take the initial letters.
'to meet' means one lot of letters go next to another.
'new wife' becomes 'bride'.
'shortly' means to remove the last letter.
The initial letters of 'husband yearning' is 'hy'.
'bride' with its last letter taken off is 'brid'.
'hy'+'brid'='HYBRID'
(Other definitions for hybrid that I've seen before include "Crossbred" , "Produced by crossbreeding" , "Offspring of two different species or varieties" , "Of mixed character" , "Like a mule" .)