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.
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
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.
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs. © 2002 by The McGraw-Hill Companies, Inc.