OMG
......I would have freaked, screamed, and been sick to my stomach. I probably would have left the house til the thing was gone! Gross, gross, gross. I feel for you.
On another note, yes a bat does need to be dead in order to test it for rabies. A girl I work with volunteers with a wildlife rescue group here. She's had itty-bitty baby bats in a cage at work feeding them every few hours. Kinda cute??? to look at when she's handling them, but not for me. She's also brought in a couple of baby possums so they could be fed every few hours. Again, cute when they're tiny............but the ugliest things EVER when they are adults. She just gushes over them saying how cute they all are.
Good luck with the test results