Sympathy toward others can be an indication of needing sympathy from others.
How often do you listen (really listen) to what she has to say? Do you show patience when she is talking, or hurry her up due to pressure of time? Do you express empathy and understanding after you get her point, or dismiss it? Do you tell her she deserve all the love, or do you make her feel guilty for what she has ("Do you know? when I was your age, we had very little)?
Have her read some history. There are books for young readers. Her world view needs expansion.