There are a few theories as to why men's and women's shirts button on different sides. They range from gun access to breastfeeding needs.
Right for Men, Left for Women: Why Are Gendered Buttons Still a Thing? : r/genderqueer
Why are women's shirt buttons on the left and men's on the right?
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The Interesting Reason Why Men's Clothes Have Buttons On The Right While Women's Clothes Have Buttons On The Left - I'm A Useless Info Junkie
That's Why Women's & Men's Shirts Have Buttons On Different Sides - Ploumanac'h - Medium
Why Are Women's Buttons on the Left? A Historical Perspective - Steve Sews Stuff
Why men and women's shirts button up on different sides
Why do ladies shirts have buttons on the other side from men's shirts? - Quora
The REAL reason why men's and women's shirt buttons are on different sides