What is your favorite thing about providing technical support?
If we take a look at my answers to question one, I'm ecstatic when I get to the bottom of a really niggly issue. Although it can be quite stressful at the start, it's that stress which carries you through. Not all stress is bad, after all.
Furthermore, you can reflect on the problem, share your new-found knowledge and ensure that other members of the team don't need to endure that same stress for a similar issue.
I think it comes down to understanding how an issue manifested itself and performing the root-cause analysis to prevent recurrence.