Rubbish English gallery (4)
I believe the answer is:
tate
'gallery' is the definition.
(thesaurus)
'rubbish english' is the wordplay.
'rubbish' becomes 'tat' (I've seen this before).
'english' becomes 'e' (abbreviation).
'tat'+'e'='TATE'
(Other definitions for tate that I've seen before include "Old Poet Laureate" , "Britain/Modern gallery" , "Art gallery benefactor" , "Either of two galleries in London" , "Sugar merchant and art gallery philanthropist, founder, d. 1899" .)