Bee - Wasps, hornets, all those types of creatures are extremely aware of it when you watch them. I don't know if it's only that their visual sense is very keen (and it is) or if it is also that they can actually "feel" someone's attention being put on them. They may have some additional senses in that regard.

Spiders are also extremely aware in that way, as are many types of birs and other animals.

The best way to keep a wasp or hornet calm (under normal circumstances) is to deliberately NOT look at him and put your attention elsewhere instead. Just don't even think about him if you can manage it. Shut your eyes if necessary, and move off slowly. I discovered this through trial and error, having had quite a problem with those creatures when I was younger, because my fear of them made me focus on them far too much...and that makes them nervous, and quite apt to go into attack mode.

Dogs are like that too...if they're the type who are somewhat inclined to be hostile. They regard a direct look as a threat.

This is natural, because in Nature when something looks at something else directly it is very often thinking about attacking it or eating it.