Yes, you can simply go to the "Bad News" section. Reversely, you can read all the positive news by going to the "Good News" section. They are unique features in News & Moods.

1) Tap on the Menu icon.

2) You will see there is a "Bad News" section, then hit it.

3) Now you can see all the negative news. All bad news are ranked from the worst (lowest sentiment scores).