Emotional fragility refers to the state in which a person is extremely sensitive to their emotions, making them more easily hurt or upset compared to others. Full definition
It evokes the very emotional fragility of the characters who inhabit it. (filmfreakcentral.net)
One of the reasons Craig might be the greatest Bond we've ever had: His is a secret agent with emotional fragility. (theringer.com)
He also, however, established a trademark persona that carried him from project to project: that of a slightly sardonic, wizened everyman who nonetheless evinced an unmistakable degree of sensitivity and emotional fragility beneath a tough exterior. (rottentomatoes.com)