Compassion = being open to receive information and hearing distress without feeling it yourself. Compassionate listening allows you to be of help and feel for the person. There is emotional distance here.
Empathy = empathy is where you find some personal experience in you that resonates like a broken heart or tragedy. With empathy you feel the others feelings and become enmeshed with the person’s feelings. There is emotional involvement and hard to escape.
Both empathy and compassion are valuable. But empathy is emotional draining at times, compassion is about mindfulness and loving kindness without bias.
Whichever you choose I hope it is for yourself first. You of all people deserve empathy and compassion.
This is one of the most loving and kind action you can do for yourself.