Possibly face up to a hot drink (3,2,3)
I believe the answer is:
cup of tea
Here is my best explanation:
'a hot drink' is the definition.
(I've seen this before)
'possibly face up to' is the wordplay.
'possibly' is an anagram indicator.
'faceupto' is an anagram of 'CUP OF TEA'.
(Other definitions for cup of tea that I've seen before include "Face pout (anag.)", "Our national panacea - personal field of interest", "Hot drink" and "The English panacea".)