Not everyone who has pets calls herself a pet Mom. I have good friends who love their pets as much as I do, but bristle at the concept of being a Mom to a pet. I also know lots of non-pet people who are appalled at people like myself who consider my role in the pet-relationship as a parent.
I don't care what you think or say...and you can abuse me online if you like (flying monkeys and zombies abound on the web), I still don't care, I'm a Pet Mom. My pets are the equivalent of kids to me.
Here's the scoop -one definition of a parent is: "A guardian; a protector."
Another definition, from the SAME source, "A female person whose egg unites with a sperm or male person, resulting in the conception of a child or the birth of a child." (where does that leave Dads, I mean, seriously?)