Elfen Lied, one of my favorite animes. On the picture shows you Lucy, who is a diclonius girl, around eighteen years old. Lucy has four vectors with a limited range, and capable of stopping or deflecting most standard ammunition when she concentrates on the task.
Lucy hates humans mainly because of how she was alienated by her human peers as a child, several of whom she eventually killed after they captured a puppy which Lucy had been caring for and beat it to death in front of her. Also she killed Kouta's family, he's is the boy that she loves. She cries and apologizes for killing his family in a fit of jealously, she believes he will be content without her existence. Lucy still is not above acts of jealously, once using her vectors to shove Yuka when she saw her holding hands with Kouta.