本题考查细节事实。题干问的是:Rymer太太对于第一次没有付房租给出的理由是什么?原文在第三段提及:Mr. Rymer (wrote his wife) was out of town,and had been so overwhelmed with business that the matter of the rent must have altogether escaped his mind. He would be back in a day or two, and the cheque should be sent at the earliest possible moment; a thousand apologies for this unpardonable neglect. (Rymer先生(他太太写来的信)出城去了,生意忙得不可开交,租金的事完全忘记了。他这几天就会回来,支票会尽早寄过去;
对于不可原谅的疏忽,我们深表歉意。由此可知,选项A“她的丈夫健忘”正确。