Different people handle and get stressed from different things. First let me say one of the greatest benefits of being a pilot (in my opinion) is the fact we don’t take our work home with us, ever. You park the plane and you are done. There’s no homework and no reports (unless you messed something up). The only time you’ll really do anything at home is once a year for recurrent training as most airlines do much of the training online vs having you come in to class.
As for the on the job stress that can be a different matter and that really depends on you. If you Google “most stressful jobs” airline pilot is always on the list but honestly I’ve never understood that. I’m not an “adrenaline junky” nor a thrill seeker and I’m not trying to sound “macho”. Flying is my “happy place” (I actually got a Samsung Gear watch last year and it’s got a built in HR monitor. Fun fact my HR is lowest when I’m at work). Not to get overly philosophical but life is stressful. Family, finances, relationships are hard, flying is very simple by comparison. You’ve been trained and know how to operate your equipment. You have a flight plan that tells you exactly how to get from A to B. Even if something breaks we’ve been trained and we have procedures. Again I never really understood the stress? That said again people are different and I have seen pilots respond “inappropriately” (ie, get OVERLY excited when something doesn’t go as planned). Only you know your personality and how you respond to these type of situations (or maybe you don’t and will find out).