There's really nothing more to say. The Bible says that part of the role of a wife is to submit to her husband. It says it flat out all over the place. A preacher in a video was referencing this kind of scripture and she overheard it and then she essentially called that crap and I said, "How can you say that if the Bible is true? Are you saying that parts of the word of God are wrong?" Then she said something to the effect of, "Yes, the parts that command that are." That's just about the only part that I left out in all of this. There isn't anymore detail that I can think of unless I start to go into all the other times she's said things, such as the OT is not important and that parts of it are just writings by mere men and things like that.
What we have to realise is that we were all sinners, rebelling against Christ before He, through His mercy and grace made the gospel clear to us, and showed us the way to the narrow gate and gave us guidance on how to get through it to eternal life. It was the goodness of God that led us to repentance.
There is nothing in the New Testament that we have to defend God in any way. But it does say that we need to be prepared to give an account of our faith in Christ when the need arises.
We all have done what you have done. If I point the finger at you, I have three fingers pointing back at me. I told one of my students once that there was a cell in the local prison with his name on it! I now know that was a totally graceless comment to him.
Your mother will read you before she will read the Bible. If she sees, love, joy, peace, gentleness, kindness, patience, goodness, faithfulness, and self control in you, then when you tell her what Jesus has done for you in your life, she will warm to that because she will see the change and progress in you. Then she will be more likely to take the Bible more seriously.
Just remember, a person can be religious but not truly born again, so their understanding of the Bible may be naturally but not spiritual discerned.
My advice to you is to cool it with your mother, show the fruit of the Spirit in her presence, without giving any more spiritual lectures, and allow things to calm down and for her to see your good works in Christ and that may cause her to start glorifying God in you.