Rabies is common in the bat population. One summer about 15 years ago I was working in my garage at night while wearing shorts. The garage door was open and at one point I looked down and saw what appeared to be a leaf clinging to my bare leg. When I brushed it off it fell to the floor and started flopping around. I collected it in a bag and the county came to pick it up the next day. They called a day later and said the bat died of rabies and to go get the shots. Three shots in the arm over a three month period, with no side effects. Much better than the alternative.
We have tons of bats here. At dusk you can see them flying over the pool area. When we have an outdoor movie as soon as I turn on the projector everyone says.....ooooh bats! lol
We have never had a problem of any kind with them though.
I know exactly how you feel, the same, exact thing happened to me. About ten years ago I was raking the leaves in my front yard when I looked down and saw what looked like a leaf attached to my leg. Well, it turned out that’s what it was. But it had some kinda sticky stuff on it and it was kinda hard to get off and everything. Anyway, I got it off and it wasn’t rabid, but you can imagine I was a bit concerned for a couple of minutes there.