My problem now is that i don't fill right with the fact that what decides if the pet is a girl or boy depending on the name. It bothers me because one day i can have a boy pet named Spike and the next day i can have the same pet named Bailey and that means it is a girl. Please change that.
You can easily change the name of your pet in the dye shop at The Wizard City Shopping District. Go in and press "x" on the girl. You will see a collar. Click on that and it lets you decide what you want your pet name to be. It costs money though. Not alot
Personally I am a little bit creeped out that for 500 gold, you can change your pets gender. But it's not like that's a big issue. Just kind of creepy.