If a boss treats you like that, then you need to report her to her boss. If there is no one above her or if her boss is just as abusive, then for your own good you need to quit. No, you are not required to resign. It is terrible and unfair when an employer treats a hard-working employee like this, but it happens. If it's worth it to you to put up with the abuse and work harder until they fire you, that is your call. To me, it wouldn't be worth it to put up with their abuse at the risk of my mental and physical health. But, I have only learned this after dealing with a couple of rude employers myself. Sorry, you were treated so terribly and I hope you are able to move on and find a much kinder employer.