Can you use tin foil and cover the top of the tree stand? That water could make your animals really sick.
Make sure the rabbit doesn't eat any tinsel or ornaments and especially the live lights. That would not be pretty.
GREAT IDEA! I put a cup of regular water under there, cause ferrets seem to drink a lot. Don't leave a beer or glass around. Fair warning, he'll knock it over.
But I will put foil over the tree stand. Gold star for you.