Trader being in no hurry to appear in business paper (7)
I believe the answer is:
florist
'trader' is the definition.
(type of trader)
'being in no hurry to appear in business paper' is the wordplay.
'being in no hurry' becomes 'loris' (typically slow-moving primate).
'to appear in' indicates putting letters inside.
'business paper' becomes 'FT' (Financial Times newspaper).
'loris' placed inside 'ft' is 'FLORIST'.
(Other definitions for florist that I've seen before include "shop" , "Provider of bouquet" , "Bloom seller" , "Flower arranger" , "A seller of flowers" .)