Definitions of sufferance
where someone in possession of real property continues to hold it after that person no longer has legal title to that property, without the express permission of the owner
During a tenancy at sufferance the tenant is bound by the terms of the lease that existed before it expired.
where there is no objection rather than genuine approval; tolerance, often despite an unwillingness
He was taken in by a local family, but was constantly reminded that he was there on sufferance.