Compassion is accepting, accepting that someone is not ready, because they are dealing with something, and they are not willing to learn or hear. Wisdom can only be transferred when the student is ready to listen. Compassion is seeing the potential and being willing to wait for them.
The dictionary definition for Compassion is a feeling of deep sympathy and sorrow for another who is stricken by misfortune, accompanied by a strong desire to alleviate that suffering. I feel that compassion is a bit more than that. A willing to wait, to see through someone else eyes. And to accept where someone is in life be it mentally or emotionally.