Aside from word choice and whether a certain line should have eight syllables or ten, the actual writing part of being a poet should be fairly low-stress. You set aside a few hours a day, find a quiet, comfortable place to write, and get to it. There'll be occasional periods of writer's block, but since that typically just makes you go outside to get some fresh air, we're not imagining a whole lot of anxiety in this environment.
The actual stress comes from acquiring enough money elsewhere to be able to afford setting aside a few hours a day, finding a quiet, comfortable place to write, and getting to it. If you're broke all the time and don't have a job, you'll have plenty of time to write, but the hunger in your stomach will probably provide another challenge.