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A girlfriend or boyfriend who you love but also can give you a headache. Usually a girl. You call them this when they're cute or when they're being a pain in the ass. Add extra words to make them feel extra special or extra stupid.
Hey Babelette, you look hot... but why did you spill coffee on my shirt again?
Babelette, if you don't stop texting me at 2 a. m., I'm gonna kick your ass.
You're my Babelette, but don't think I'm gonna let you eat the last slice of pizza.