Please help got into a breakup like fight with my girlfriend

1. ⁠I use to mimic her dad . Her dad has very soft voice so in just a funny manner i use to speak in female voice . In turn she also use to mimic my father and tells him fat and small . And even she respects my father a lot and didn’t meant it. She sometimes shows actions that she didn’t like this mimic .
2. ⁠today she , her sister and her sister’s wife was on a call and they were talking and discussing about something and at that time the husband’s mother suggested something on which both sister’s told him that who is that “chacha choudhary” speaking from behind.
3. ⁠my girlfriend told me this in a laughing funny manner on which i just reacted that “heinn you told this to his mother at that time(while speaking this i was normally shocked and smiling)” . After this my girlfriend started asking me that what is this “heinn” why you men’s react like this you all have over hyped this condition, there is nothing wrong in this , it’s very normal you should react normally . Whereas i told her that it is something even i won’t like thats why i reacted like heinn and nothing more that this . She asked me yes then also tell me why was this reaction . I told her that even if i would be in his place i would feel this as disrespectful that she is my mother i can’t hear things like this against her . She started yelling at me and said that you mens overhype this there is nothing disrespectful in this and no girl is going to be happy with you , you should stay single , even i am a girl and i will leave my home behind when i will marry you i will leave my home and come to your home, i will feel as a separate stranger person . And she even told me this that if this is disrespectful than what is that “voice mimic ” that you do of my father i told that that is a funny mimic and just jokes which we both do to n fro . And if you feel bad about it then i won’t repeat it again and i’m sorry. Then she told that when it came to you it’s disrespectful when it came to me it’s joke and funny . Etc etc and we had a fight which is no less than a breakup fight .
   I want neutral answer that who is right and why

TL;DR – I used to mimic my girlfriend’s dad in a funny way, and she would mimic mine back. Today, she told me a story where she and her sister jokingly called her sister’s husband’s mother “Chacha Choudhary” during a call. I reacted with mild shock (“heinn?”) and said I’d feel disrespected if someone said that about my mother. She got upset, said men overreact to such things, and accused me of double standards — saying I take offense when it’s about me but joke when it’s about her dad. Despite my apology and explanation, it escalated into a serious fight, almost like a breakup.