The Deathlord is a busy woman, Liadrin. Just give her the corpse and she’ll be on her way. If not, she’s going to have to smash your Blood Elf face into the ground and step over you to the body, and that’s just not something that has to happen here.
I've been getting into Pet Battles more because of Anna's brilliant to-the-point guides, and while I know there are better pets out there to use, I'm partial to expanding my army of demonic giraffes minions. Thankfully, most of these are drops I can farm rather than tameables out in the world, so it almost doesn't require pet battling skill at all.