First of all, teaching itself is a job. So if we think from that viewpoint, I think as a profession, teaching can be both enjoying and stressful. This depends on how you go through it.
Teaching - like any other profession - can be stressful at times. However, stress can be minimized when one 1) adequately prepares for classes, 2) works in a nurturing supportive environment, and 3) truly has a passion for their chosen career. It is also vitally important that teachers are given the resources needed to do their jobs effectively.