Brown meets President, almost showing rage (7)
I believe the answer is:
tantrum
'rage' is the definition.
(thesaurus)
'brown meets president almost' is the wordplay.
'brown' becomes 'tan' (tan is a kind of brown).
'meets' means one lot of letters go next to another.
'president' becomes 'trump' (Donald Trump).
'almost' means to remove the last letter (most of the word but not all of it).
'trump' with its last letter taken away is 'trum'.
'tan'+'trum'='TANTRUM'
'showing' acts as a link.
(Other definitions for tantrum that I've seen before include "Fit - pet" , "Hissy fit" , "Pet, temper" , "Childish display of temper" , "petulant outburst" .)