I think I just ruined my relationship with my mother

I (14f) live with my parents and two brothers. Like most families, we’ve had fights, but never anything super toxic or problematic. Lately, I’ve been arguing more with my mother. Even though we’ve both said hurtful things to each other in the past, my mom doesn’t like dragging things out, and she usually forgets about it next time we talk.

Three days ago, she had just picked me up from an 8 hour theatre rehearsal, and I was absolutely exhausted. She had argued with my dad earlier, and was trying to vent to me about it. I asked her if I could have some time to relax as I didn’t feel like getting in the middle of their problem. She yelled at me that I was ungrateful and rude. I told her that I was sorry they were having issues, but I was too tired to stress about it at the moment.

Later, I went up and tried to explain myself. It didn’t go well, and I ended up in tears. She has not spoken to me since. She has never given me the silent treatment, nor anyone in my family, despite all of the awful things my brothers have said to her in the past.

I have been absolutely distraught and unable to focus. I broke down crying in the middle of guitar practice, and I’m worried my performance in cross country and soccer is being hampered. My dad tried talking to her just now, but she said she won’t talk to me until I apologize. I really don’t know what to do. I don’t feel like I did anything wrong, and that she’s being immature and petty. But at the same time, I love my mom and I can’t stand the tension or how upset it’s making my poor dad.