It took courage to write in with your question, and I’m happy that you realize that there could be a problem and are taking responsibility for it. What could start out as a temper control issue or an impulse control issue could easily turn into a domestic violence issue. It’s not just that you pushed your girlfriend, but you have also demonstrated behaviors that are intimidating. It may seem that punching a wall doesn’t hurt anyone but yourself, but there is an implied message to the person seeing this that it could be them next time.
I do suggest that you see a therapist to learn to manage your feelings in a healthy way. You are young enough that you can successfully make changes to how you identify and cope with emotions and stress. Your girlfriend shared that she is scared and you can even admit yourself that you are scared that things could get worse. The time to get help is now. Seek a therapist who is trained in anger management techniques or find a group or class on the topic. In the meantime, there are many good anger control workbooks that may help.
All the best,
Dr. Holly Counts