Give professor the wrong tea (6)
I believe the answer is:
donate
'give' is the definition.
(I know that donate is a more specific form of the action give)
'professor the wrong tea' is the wordplay.
'professor' becomes 'don' (term for a university professor).
'the wrong' indicates anagramming the letters.
'tea' with letters rearranged gives 'ate'.
'don'+'ate'='DONATE'
(Other definitions for donate that I've seen before include "Give freely, maybe blood" , "Give (money) to a good cause" , "Make a gift of" , "Fork out" , "Contribute charitably" .)