Compassion is not the same thing as empathy:

As the Dalai Lama explains, if you are walking along a trail and come along a person who is being crushed by a boulder, an empathetic reaction would result in you feeling the same sense of crushing suffocation and render you unable to help. The compassionate reaction would put you in the sufferer's shoes, thinking this person must be experiencing horrible pain so you're going to do everything in your power to remove the boulder and alleviate their suffering. Put another way, compassion is a more objective form of empathy. This idea of seeing things clearly through another person's perspective can be invaluable when it comes to relating with others, particularly in tense work situations.