I did a quick google search to confirm, and it turns out Catherine Murphy(who took this video) is the president of Townsville Bat and Wildlife Rescue, which is a charity/not-for-profit org registered with the Australian government.
So i think it’s pretty safe to say she knows what she’s doing.
Here is a news article that interviews Catherine. Apparently Townsville had a heatwave and the baby bat was trying to get a sip to drink when she fell in. The bat was kept for monitoring before being released again.