The adoptive sister of Eren and mutual childhood friend of Armin, Mikasa hides her emotions but cares deeply for Eren--never hesitating to cry with tears of joy or despair depending on what happens to him. She shares an unbreakable bond with Eren following events in their past, and his mother requesting that she protect him made her even more overly protective of him than she was beforehand.
Subtle (and not-so-subtle) hints throughout the manga suggest she loves Eren as a woman, rather than as a sister. However, in the first four volumes he hasn't shown any such feelings in return, and it seems her feelings are destined to be unrequited.