Express strong feeling, using term Goethe oddly rejected (5)
I believe the answer is:
emote
'express strong feeling' is the definition.
(show emotion)
'term goethe oddly rejected' is the wordplay.
'oddly rejected' indicates alternate letters.
'term'+'goethe'='termgoethe'
The alternating letters of 'termgoethe' are 'EMOTE'.
'using' acts as a link.
(Other definitions for emote that I've seen before include "Go over the top" , "Show heightened feelings" , "Express strong feeling" , "Portray feelings theatrically" , "Show feeling excessively" .)