don't threaten to throw out a single mom and her two kids because the rent was 0.2 milliseconds late
This implies that there is a threshold after which Adam Something believes it would become appropriate to throw out a single mom and her two kids for not paying the rent. There is no such threshold, it will always be wrong to throw a single mom and her two kids out onto the street, the only moral option available to you if you have a deed and are renting to a single mom and her two kids is to sign the deed over to her.
This implies that there is a threshold after which Adam Something believes it would become appropriate to throw out a single mom and her two kids for not paying the rent. There is no such threshold, it will always be wrong to throw a single mom and her two kids out onto the street, the only moral option available to you if you have a deed and are renting to a single mom and her two kids is to sign the deed over to her.