Women are fickle and complex creatures.
If we had wiring diagrams for the brains of both sexes the male brain diagram would be comprised of a 9 volt battery wired to an ON/OFF switch, a small light bulb, and grounded to one point.
The female side would have a Lithium Ion 18V battery, ON / STANDBY / OFF switch, 5 AMP Circuit Breaker, Polarity Reversing switch, 30 FARAD Capacitor, bank of LED's, NAND logic Gate, and an optical sensor that triggers a warning buzzer when spiders, snakes, and retail store sales are in view.
I feel your pain OP. My girl doesn't like to back down or admit that she's wrong. I tend to keep the peace unless I know I'm not at fault and she's being an ass. Then she can walk around being bitchy for a few days. At least nobody interrupts my TV time then.