Some context first when my mom and sister get into an argument they always act like they are going to fight and it gets explosive. Also, this argument stems from miscommunication because instead of saying I misheard you they argue… to the story we go

I 18f, was sitting in the living room while my mom and sister argued for like 20 minutes. My mom got tired of trying to explain herself so she went in her room and closed her door. My sister 21f, went near the bathroom and started to talk loudly, basically throwing shots at my mom I asked her “Can you go inside of the bathroom because you are talking loudly and you’re just going to continue the argument” She proceeded to tell me to shut up and stop trying to put my 2 cents into things. I repeated what I said earlier but added “Why would you do something that could continue the argument if it gives you headaches” (context: my sister said that we argue too much with her and it gives her headaches and that we make her nerves bad) she continues to tell me to shut up and yelling at me so I tell her “why are you getting mad at me for trying to stop this argument from continuing” she yells to me “you’re always trying to put your two cents into things that have nothing to do with you” I told her if she mad at someone for trying to end an argument that’s on her and that she’s mad because I pointed out to her that she knew what she was doing by yelling outside the bathroom. Then she had the audacity to tell me that she was not going to give me the money that she owes me for doing something for her so I stood up yelling that I was getting my money and she said I bet you won’t so I proceeded to tell her that I would undo everything that I just did and she said she didn’t care so I tell her that I was going to destroy her sleeping area and she said she was going to destroy mine I tell her that she is sad and needs to get a life if she’s mad at me for telling her to go into the bathroom to end the argument. Then, she told me that I just talked down on her by telling her to get a life and proceeded to tell me that I’m not going to make it in life since I want it talk down on her. I told her that I never talked down on her and that she just talked down on me by this point my mom came out and told me to go into the room and asked my sister does she knew what talking down on someone meant because telling someone to get a life is not talking down on someone. Lastly, they argued again and during that, she tried to act like I said something horrible to her like saying y'all didn't hear what she said and she was referring to me telling get a life and she was like I was telling her other things which I was not... What i'm trying to ask is if I'm the a-hole for telling her to go into the bathroom and if I was I talking down on her for telling her to get a life? I must also point out that I did not start yelling or shouting until she threatened to not give me my money. I was annoyed up until that point.