Sentence:  He could stand snakes, but alligators he disliked. It was the way they dragged their victims underneath the water and buried them, waiting until the corpse became rotten. That was the way they liked their meat—<WSD>stinking to high heaven</WSD>. The thought of such a death filled him with dread. 
Meaning of the word marked with <WSD> tags:  To have a very strong and unpleasant smell.