Humanitarian workers often operate under highly stressful conditions, view emotional scenes, and face high time pressures. This may bias managerial decision‐making in humanitarian logistics, but evidence is lacking. We model humanitarian logistics decisions in an adapted newsvendor setting. We experimentally expose participants to time pressure, noise, and emotional pictures. Using physiological and self‐reported data, we confirm that these manipulations have different effects on two components of the stress response (negative valence and arousal) and on decision‐making quality. Specifically, medium levels of arousal seem to boost decision‐making quality, independent of affective valence. However, high time pressure (characterized by high levels of arousal) leads to a collapse in decision‐making quality. Our results highlight that some level of stress may be beneficial for decision‐making owing to its action‐activating properties. However, excessive time pressure sharply overrides and outweighs these benefits. We discuss the generalizability of our results to other emergency situations (e.g., firefighters) and managerial contexts (e.g., crisis responses).