选B.
考点：非谓语动词作状语,表原因
句意：由于全身心的投入到该新生婴儿的照料中,林巧稚受到了人们的极大尊敬.
关键：devote 的用法
①devote one's time/energy/life to (doing) sth
②sb be devoted to doing sth
原句信息：
__to caring for the newly-born baby 结构中,devoted 没有宾语,排除①的用法.
进一步理
Having been devoted to caring for the newly-born baby 可以替换为原因状语从句：
As she has been devoted to caring for the newly-born baby .