My list of loved gadgets include the food processor, stand mixer (with shredding attachment), immersion blender (thought it would collect dust but it doesn't), countertop grill, and tortilla press. I do love my good digital kitchen timer, thermometer, and scale. I'd say the least used are the ice cream maker, breadmaker, sausage maker attachment, blender, and toaster. (Actually the toaster broke and we haven't had a need to replace it.)
I'd look into good deals on a new food processor. My rule of thumb is "If it broke today, would I run out tomorrow and get another one?" Like if the hand mixer broke, it could wait until Christmas. Food processor, I'd need another one in my kitchen within a week. I'd save up YOUR share of the money or sell something of yours and replace that one if she's going to be so stubborn. If you consider it a need for yourself, then YOU need a new one. Or at least used/refurbished.