Speaking for myself only, I still worry about my patients. I worry less when I pray for them, so that works for me.
You'll bring work home less when you have more experience and feel more confidence with your skills. IMO, this worry after work is your way of processing the events of the workday. You can use it to your advantage and improve how you do things by keeping a journal at home.
Before I started a journal, I used to come home and vent to my (poor, poor) DH. I hardly ever need to tell him about it now, unless I have an unusually heartbreaking case, or if I'm disturbed that there's more going on with a patient than we've figured out so far.
It helps to discuss your fears and questions with another professional, too, which is why so many of us post here. I've had a lot of my questions answered here as well as finding that I was certainly not alone in my feelings of fear and anxiety as a new nurse.
So don't worry, it'll get better as you find new ways to cope with the stress and find your footing as a professional.
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