My girlfriend and I got into an argument earlier and I oushed her (she moved maybe like an inch or two away) so it wasn't like a hard push and now I just feel like a bad person or an abuser. I love her to death and I care for her alot. Now i'm scared that our relationship is toxic.

Mm arguments shouldn't get physical on the slightest. It might be best to have a talk about coping skills you guys can do when it starts to get so heated / confrontational, such as one of you leaving the room for 20 minutes but promising to come back bc u guys want to work it out. An apology is definitely warranted. You're not supposed to touch anyone unless they touch you first and and then that's a very slippery slope for a man.

And even then*

One thing that has saved me in lots of arguments is just deciding to hug in the middle of it, no matter how angry you are. Also going to clean something like the bathroom . Don't sweat the small stuff with relationships.