If you believe that everything happens for a reason, then you will be able to step back a bit from the current situation. When I am in a stressful situation, I reflect on how the Avot all had their trials. Those who gave them grief were only instruments of Hashem’s will. While I certainly don’t put myself on the same level as the Avot, I know that Hashem wants to see what things I am capable of, and whether I have learned from past mistakes.
In stressful situations at work, I try to see if some of the stress may be due to my own faults. For example, could I be more flexible and rethink the way I do things? If someone is rude to me, is this payback for some lashon hara that I may have spoken outside the workplace or some less than generous thoughts about others that I kept to myself? I am not saying that you should automatically accept negative comments made by others. However, none of us are able at the end of a long day to take pride in everything we did and said. There are too many unworthy thoughts and missed opportunities.