Partner institution welcomes a university accepting teaching ultimately (9)
I believe the answer is:
colleague
'partner' is the definition.
(I've seen this before)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for colleague that I've seen before include "Workmate" , "China, perhaps" , "Associate" , "Fellow-worker" , "Person with whom one works" .)