have heart go out to
have (one's) heart go out to (someone)
To feel sympathy toward someone, typically because they are experiencing a particularly tragic situation. We have our hearts go out to all who have been affected by this disaster. We will not forget you.
have one's heart go out to someone
Fig. to have compassion for someone. I can't have my heart go out to everyone. To give generously to charity shows that one's heart goes out to those who are suffering.