How should I handle my evil aunt?

I'm a 16 year old girl and I busy most of the time in my room studying as I have big dreams and I want to fulfill them. My aunt came to my home few days before, as usual I greeted her and talked with her a bit. The next morning, my father and mother were arguing and I was with them at the moment. My parents left me after some time then my aunt started to yell. She said that I was big enough and should cook them breakfast instead of being in my room and I was a brat and how I have a big ego. what she said really hurt me so I went crying to tell my parents. My mom then went to consult my aunt and instead of apologizing, she started a fight with me and I got furious too so I yelled at her. She then said I just stay in my room and I am immoral and told me I am a girl so I should do house works. This is not something unusual for her to say about me because I have seen her talking nasty things about me behind my back. 2 days have gone since our argument and both of us haven't spoken and my father wants me to apologize. I now feel guilty thinking if I am the one who is in the wrong. So am I the one who is wrong, if so why and what should I do

How should I handle my evil aunt?
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