Possibly face up to a hot drink (3,2,3)
I believe the answer is:
cup of tea
'a hot drink' is the definition.
(I've seen this before)
'possibly face up to' is the wordplay.
'possibly' indicates anagramming the letters.
'face'+'up'+'to'='faceupto'
'faceupto' anagrammed gives 'CUP OF TEA'.
(Other definitions for cup of tea that I've seen before include "The English panacea" , "Our national panacea - personal field of interest" , "Hot drink" , "Face pout (anag.)" .)