what kind of country was waiting for me across the Channel.
这是一个完整的句子.
主语是what kind of country
谓语是was
宾语是动名词词组 waiting for me.
如果你后面还用动词,一个主谓宾的句子里怎么会有两个动词?
就好比 你能说 I am am a student
显然不可以.所以后面不能用动词
across是介词,加上名词,构成介词短语.是做宾语的补足语.“对等待我”做出补充说明.