Hey there!
He wants to know why she peers over her glasses at him like that.
This would be "look".
It wouldn't be "fear" because the person doesn't seem scared, it wouldn't be "walks" because the person isn't walking, and it wouldn't be "talks" because the person isn't talking. Your answer is look because the person is looking/wondering because he wants to know WHY "she" peers over her glasses like that.
Final answer:
Looks
Hope this helps you.
Have a great day!
