with unwilling permission

He gave me a bed for a couple of nights but I felt I was there on sufferance. 他让我住上几个晚上，但我感觉自己在那儿并不受欢迎。

If someone does something under sufferance, they do it very unwillingly.

He only visits his parents under sufferance. 他探望父母时总是极不情愿。