open heart
open heart {n.}
1. No hiding of your feelings; frankness; freedom.
She spoke with an open heart of her warm feelings for her pupils.
She told her troubles with an open heart.
Compare: HEART ON ONE'S SLEEVE.
2. Kindness; generosity.
She contributed to the fund with an open heart.
Mr. Jones has an open heart for underprivileged children.
Compare: OPEN ONE'S HEART.
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Source: A Dictionary of American Idioms