刚刚死里逃生的人不会担心脏水会致病这类的小事.
Men who have just escaped what had appeared to be certain death 是主语部分,men为主语中心词；
其中who have just escaped 是主语中的定语从句,修饰限定men,译为……的人；what had appeared to be certain death 是who have just escaped 的宾语从句,这样整个主语部分直译为刚刚逃脱了死亡的人；
lose 是谓语动词；
all worries about such small things as diseases caused by dirty water是宾语部分,直译为像脏水能致病这类的顾虑.