What kind of bee is it?

Why get rid of a bee? They are good things. (Although it sounds a bit strange if there is only one of them. They are communal insects.)

” Carpenter bees are solitary bees. ” http://www.pestworldforkids.org/bees.html.
Could that be it?

mud daubers build single hives, but they usually have them to lay eggs in. I’m not sure if they live in them. Mud daubers are harmless and don’t sting humans usually. There is a good picture of one here

Are you certain it’s a bee and not a hornet or a wasp?

Well, depends on how big it is. I’m more inclined to think that it’s a wasp though..

I feel a mangled Hamlet quote coming up…. To bee or not to bee… That is the ques – *gets hit by flying shoe