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What concerns me (I'm only afraid of spiders) is mini_com being inquisitive. We are trying to make sure she is not squeamish or easily spooked, but still respectful and not smashy smashy. I don't want her to pick up on my arachnophobia, for example. Although, it has become her pointing at things like ants very closely, VERY closely, squished closely. And if there was a hornet, she'd likely bother it.
To humans, hornets are the least aggressive of the eusocial insects. They just want to mind their own business (which mostly has to do with hunting other insects) and you're of no interest to them whatsoever, so just leave them alone. Most importantly, don't lash out and don't try to kill them, even if they sit on some food. They'll go away after a while. Just enjoy what amazing animals they are.
People tend to be scared of them because of their size and because there seems to be an aspect of their buzz that seems extra frightening to some, but they're only likely to hurt you if you sit on one or step on one barefoot, that sort of thing.
For nests, get professional advice and help.