Difficult people generate difficult work settings; a workplace may seem like a battlefield with a conflict at every turn in the road or within each department. Conflict is inevitable, and it does not mean that it is time to seek another job. Instead, remember that it takes two to tango. So, own your part in the disagreement so that you may move on. Allow a cooling off period. I recall a time at a prominent medical school in the Chicago area when one of the clinical chairs was a source of constant conflict. I found it beneficial to type a response, print it out, lock it in my drawer, and shred it the following morning. My assistant found it beneficial to hang a soft dartboard behind her door. In the center, she placed a headshot of the offender. She actually threw darts, removing them before leaving her office. It was extreme, but it gave her great relief from an otherwise confrontational situation. And then, address the issue and apologize as appropriate. Time does heal wounds as you both move ahead.