Possibly mother or father split (6)
I believe the answer is:
parent
'possibly mother' is the definition.
(I know that female parent is a type of parent)
'father split' is the wordplay.
'father' becomes 'pa' (pa can mean dad or father).
'split' becomes 'rent' (past tense of 'rend' meaning to split).
'pa'+'rent'='PARENT'
'or' is the link.
(Other definitions for parent that I've seen before include "Mum or dad" , "Trepan for progenitor" , "E.g. father" , "Immediate ancestor" , "person responsible for children" .)