I haven’t found them to be in conflict. I often approach poems inspirationally to begin with, but the editing and revision process is very analytical, and the rigor and clarity of thought that I’ve developed in my work help me there. At the same time, I’ve found that writing poetry has improved my general communication skills a lot, and that helps me in my job.
Many people aren’t aware of the nuances of different ways of saying things, or don’t have large enough vocabularies to be able to make effective choices. As a poet, these are indispensable skills. But actually, these skills are useful in any kind of job where you have to communicate with other people. No matter how dry and factual the information you’re putting across, there is emotional content, and it’s very easy to change that or shade it by using different words.