Give professor 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 wrong tea' is the wordplay.
'professor' becomes 'don' (term for a university professor).
'wrong' indicates anagramming the letters.
'tea' with letters rearranged gives 'ate'.
'don'+'ate'='DONATE'
(Other definitions for donate that I've seen before include "Make a gift of" , "Give - present" , "Give freely, maybe blood" , "Muhammad -, US boxer" , "Make an offer" .)