As I was researching this step of the Eightfold Path, I had to reflect on my own career. Like most (or all) people, I've had jobs I've loved and jobs I've hated. When the alarm goes off in the morning, do you say "not again" or do you jump out of bed, eager to start the day. These days, I am eager to get to work (and yes, we are hiring).
Project management can be be rewarding or frustrating. A lot of times we are expected to do things without the official authority. We don't always get the resources we need, and yet we are expected to deliver. But when a project is delivered successfully, what a feeling of satisfaction.
The right livelihood doesn't necessarily mean we seek out a job because it is more morally correct. It has to do with how we approach our job/career. We need to go out and do our best, not for reward or recognition, because that is feeding our ego. We do our best, because it's the right thing to do. Then we will see the stress dimish and find satisfaction.