The real, historically accurate reason women’s shirts (and blouses, jackets, dresses, etc.) button on the opposite side from men’s is rooted in how wealthy people dressed in the 19th century and earlier.
The Core Historical Explanation
Men’s clothing buttons left-over-right (buttons on the right side, buttonholes on the left) because most men are right-handed. When a man dressed himself, it was easier and faster to push the button through the hole with his dominant hand.