Possible Bat or Bug encounter?

This might be a stupid question~ I was out at a park last night and when I turned around I saw something black fly into my eye. I'm pretty sure I heard a buzzing sound and didn't feel anything else besides my eyeball being hit. Now I'm a little paranoid if it could have been a bat. Are bats small enough for me not to notice it crashing into me out in Tokyo? I'm probably just in my head, but is there a doctor in Tokyo I can go see about possible rabies exposure?

Edit:
Thank you everyone! I know this was probably a stupid thing to ask, but my brain was going a hundred miles a minute with this. I've never encountered bats personally. So I don't have an actual mental scale of how big they are. It gave me a lot of anxiety last night.

by BbyCapybara