Whenever we feel stressed out, that's a signal that our brain is pumping out stress hormones. If sustained over months and years, those hormones can ruin our health and make us a nervous wreck.
The ability to handle stress increases with the practice of meditation. In a culture like ours in which inner, spiritual growth is totally neglected in favor of materialistic pursuits, we might have something to learn from the Hare Krishna devotees' meditational practices.
Women, on average, tend to be more aware of their emotions, show more empathy, and are more adept interpersonally. Men on the other hand, are more self-confident and optimistic, adapt more easily, and handle stress better.
There are a host of surprises among longer-term meditators, like a boost in the immune system from a day of practice, which is not seen in beginners, and a rapid recovery from stress or pain. At the "Olympic level" we find there is no anticipatory anxiety when the stress of pain is certain to come, and no lingering aftereffects - unlike the stress reactions in ordinary folk.
All the classical meditation traditions, in one way or another, stress nonattachment to the self as a goal of practice. Oddly, this dimension is largely ignored in scientific research, which tends to focus on health and other such benefits. I suppose the difference has to do with the contrast in views of the self from the spiritual and scientific perspectives. Scientists value the self; spiritual traditions have another perspective.