Difficult predicament I missed in disease of sheep (6)
I believe the answer is:
scrape
'difficult predicament' is the definition.
(I've seen this before)
'i missed in disease of sheep' is the wordplay.
'missed in' is a deletion indicator.
'disease of sheep' becomes 'scrapie' (ovine disease).
'scrapie' with 'i' removed is 'SCRAPE'.
(Other definitions for scrape that I've seen before include "Abrasion or mischievous excapade" , "Predicament - abrasion" , "Thinly-spread butter" , "Scratch; just make (living)" , "Embarrassing predicament" .)