The doctor had almost lost hope at one point,but the patient

pull out 拔(撤离,折叠的大张插页,飞机进场重新飞起)
例句与用法:
The project became so expensive that we had to pull out.
这个计画耗资太大,我们只好退出.
A car suddenly pulled out in front of me.
一辆汽车突然横冲到我面前.
A没有恢复健康的意思.
pull through vt.渡过(脱离,使...脱险)
例句与用法:
He will pull through his illness soon.
他很快就会恢复健康的.
If we can pull through this recession,we will be in good shape.
如果我们能渡过这段经济不景气的时间,我们就会好多了.
pull over 把...开到路边
例句与用法:
I shouted to the driver of the tractor to pull over and let me through.
我向拖拉机手喊,要他把拖拉机开到路边让我过去.
Her good look gave her a pull over other girls.
她的美貌使她与其他女孩相比占了优势.
pull up n.拉起(张力,停止,正偏,停车处)
例句与用法:
It was a hard pull up to the mountain hut.
费了很大力气才到达山上的小屋.
I daren't let Bill loose on the garden he'd pull up all the flowers.
我不敢把比尔放到花园去－－他会把花全都拔掉的.
The driving instructor told me to pull up at the post office.
驾驶教练让我在邮局停车.
因此选C

A选项是拔出
B选项是拔
C选项是转危为安
D选项是靠边
整句话的意思是医生几乎失去了一个希望点，但是病人还是转危为安了。