The project was failing, and it seemed all hope was lost until our senior manager came to the rescue with a new strategy.

came 是动词 come 的过去式，表示"来、到达"的意思。 to 是介词，在这里表示动作的方向或目的。 the 是定冠词，用于特指某个事物。 rescue 是名词，意思是"救援、解救"。 came to the rescue 是一个固定短语，字面意思是"来到救援"，引申为"前来解围、出手相助"的意思。