Co worker is impossible to be friends with?

I recently went back to work full time after taking 15 years off to raise my kids. It s the same place I worked at before I had kids. Anyway, the job is totally different now and this girl who is 15 years younger than me was put in charge of training me. She started 8 months before me. So, obviously when you re new you will make mistakes. Well, she chomps at the bit to call me out on it. The only time she communicates with me is to point out a mistake I made. We ve socialized outside of work a few times at work events, I even gave her a thank you card and gift card for training me, but nothing changes. She is very cliquey with her friends. She s a total know it all. She s moody, and she s also a total suck up to our manager. Truthfully I don t care about being friends with her, but I m getting so irritated with her corrections. I purposely try to be flawless so I don t have to hear from her. I don t know why she s like that but I feel like it s creating a toxic environment.