“I have smaller hands and am curious how the nut width of a guitar might affect me?”
The nut width of a guitar corresponds to the actual width of the neck at the nut. A wider neck and nut at that end will mean wider string spacing, which can translate to accelerated fatigue for smaller hands or shorter fingers. The depth of the neck also figures into this equation; a wide neck that is very shallow can sometimes be easier to play than a narrow neck with a lot of bulk. It depends on your playing style and what you are trying to accomplish.