In love with, but being discouraged by (6,5)
I believe the answer is:
losing heart
'but being discouraged by' is the definition.
I know nothing about this answer so I can't judge whether this works.
'in love' is the wordplay.
I cannot quite see how this works, but
'in' is present in the answer.
'love' could be 'heart' (heart is a kind of love) and 'heart' is found within the answer.
This explanation may well be incorrect...
'with' acts as a link.
Can you help me to learn more?
(Other definitions for losing heart that I've seen before include "In despair" , "disillusioned" .)