You have a passion for questions to ask your girlfriend
Do not call her anything associated with heavy meals, like pork chop. She will definitely not see that as cute and will probably think that you see her as fat. Cute animal is another category you can choose from, such as kitty cat. You again have to be sensitive with your choice. A gerbil may be cute for you but she will probably find it offensive if you call her anything from the rat family.