I wasn't going to admit it, but I think my mother-in-law was probably right.
Do you care to share what your mother-in-law was right about?
I believed that a woman was either weak or a bitch when she needed a man to help take care of her.
Admitting when you're wrong also shows you're aware of your mistakes and can learn from them. This might help you build a stronger relationship with your mother-in-law.
I want her to respect me and she will if I show I can move on.
You should feel proud of yourself for recognizing that you were wrong and being able to learn from others and realize your way of thinking was inappropriate. It's not easy to admit someone else was right and many people wouldn't be able to do it.