The chances of being stung by a bee are very low, but I can imagine that the low hum of any insect can be fearful.
provides good advice about the chances of getting stung and how to avoid it.
I got stung once. When I was 5 or so I smashed a rock on a bee that was on a clover flower. I picked the rock up and the half-dead bee managed to sting me on my thumb. It was a good learning lesson, although it didn’t instill any fear of bees – more respect than anything.