The British cheese assortment does appeal to one (7)
I believe the answer is:
beseech
'appeal to one' is the definition.
I can't judge whether this definition defines the answer.
'the british cheese assortment' is the wordplay.
'the british' becomes 'b' (abbreviation e.g. in 'BBC'**).
'assortment' is an anagram indicator.
'cheese' is an anagram of 'eseech'.
'b'+'eseech'='BESEECH'
'does' is the link.
Can you help me to learn more?
(Other definitions for beseech that I've seen before include "Entreat, implore" , "Fervently ask (someone) for something" , "pray" , "request, urgently" , "Sue" .)