Sensitiveness
Part of speech: noun
Definition: The ability to perceive sensation. The ability to be aware of (and, usually, react with regard to) the feelings of others.
Sensibility
Part of speech: noun
Definition: The ability to sense, feel or perceive; especially to be sensitive to the feelings of anotherAn acute awareness or feeling
Example sentence: The hardest thing about being a leader is demonstrating or showing vulnerability... When the leader demonstrates vulnerability and sensibility and brings people together, the team wins.