I apologize again if some of them are obvious but I ran out of ideas.
Dean- Cougar because you are very feisty and independent. You can take care of yourself.
Sam- Kitten because you are so much smaller than him and you are adorable to him.
Cas- Ladybug because you are pretty and have a unique personality.
Gabriel- Honeybee because you're sweet, like the food, but you also can have a bit of a sting too.
Bobby- Woman because when he says it, you know he loves you and he says it in the most affectionate way possible. It's like when he calls Sam and Dean idjits.
Lucifer- Rhea because in Greek mythology, she is the mother of Hades and your dog's name is Hades.
Crowley- My Queen because he intends on making you his queen.
Balthazar- Darling because he has the utmost respect for you and when he calls you this, you feel very loved.
Adam- Cupcake because they are his favorite food and you are his favorite person, plus he loves both of you.
Chuck- Babe because Sweetie is too close to the nickname you call him and he wanted to come up with his own nickname for you. Sometimes he will call you sweetie though.
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Supernatural Preferences
FanfictionDean, Sam, Cas, Gabriel, Lucifer, Bobby, Adam, Chuck, and possibly Balthazar. Disclaimer: I do not own any of the characters from the show