Mr Justice Laws granted Pamela Caine leave to appeal against the council's decision that she is 'intentionally homeless' and thus not entitled to be permanently rehoused at public expense.
She claims she and her children are being punished because of rent withheld by her boyfriend Christopher Coombs - a former researcher at Nottingham University. She is adamant Mr Coombs hid the arrears from her.
Ms Caine and the children had come to Nottingham from Lincolnshire in 1991 when Mr Coombs was offered a six month research post at the university. Housing was provided for them on an assured shorthold tenancy from April that year.
But the council later declared them 'intentionally homeless' and refused Ms Caine a permanent tenancy on grounds that she had acquiesced in rent arrears.