A shy bookworm is not an emotionless girl.
For one thing... she's shy, which is an emotion.
Now you could have an emotionless girl who is a bookworm and have people mistake her as shy. Thus sticking her into a category they can easily understand "shy bookworm" but that doesn't make real shy bookworms emotionless girls.
Examples:
Rei Ayanami: Is an Emotionless Girl but I doubt people would call her a shy bookworm.
Yuki Nagato: Is an Emotionless Girl, and is probably mistaken for a shy bookworm but is not actually a shy bookworm (though she is a Bookworm she is not shy). In fact the defining difference between the main world of The Melancholy Of Haruhi Suzumiya and the AU of The Disappearance of Nagato Yuki-chan is that in the second one Nagato is a shy bookworm instead of an Emotionless Girl. Part of the drama of The Disappearance Of Haruhi Suzumiya was that Nagato wanted to stop being an Emotionless Girl and become a shy bookworm instead.
Shiori Shiomiya: Is a stereotypical shy bookworm. That's her thing. Yet she would never be labeled an Emotionless Girl.
edited 19th Mar '14 6:01:28 PM by Sackett
Overlap doesn't mean that one should be shoehorned into the other. Just because there are characters who are both, doesn't mean all characters should be in one trope.
Sheep have four legs and tables have four legs, but not all tables are sheep.
Reality is that, which when you stop believing in it, doesn't go away. -Philip K. Dick