A week facing custody may be difficult to deal with (7)
I believe the answer is:
awkward
'be difficult to deal with' is the definition.
I can't judge whether this definition defines the answer.
'a week facing custody' is the wordplay.
'week' becomes 'wk' (common abbreviation).
'facing' is a charade indicator (letters next to each other).
'custody' becomes 'ward' (I've seen this before).
'a'+'wk'+'ward'='AWKWARD'
'may' is the link.
Can you help me to learn more?
(Other definitions for awkward that I've seen before include "Inelegant; tricky" , "Lacking dexterity" , "Lacking grace or skill" , "Stiff and clumsy" , "Clumsy and ungainly" .)