I want to address the vexing question of whether women were permitted to watch the Olympic Games.
Certainly there was a women's camp. It contained the women and children of any men who'd seen fit to bring their families, plus a whole lot of hookers, both pornoi (working girls) and hetaerae (high class courtesans). The women's camp was on the opposite side the river from where the Olympics were held, and there was an easy ford so people could cross at will.
It's known for sure that there was a law forbidding married women from watching the Games. If a married woman was caught inside the stadion, or even on the wrong side of the river, while the Games were in progress, then the prescribed penalty was to throw her to her death from Mount Typaion, a cliff-laden area on the road from Elis to Olympia. But I'm not aware of the penalty ever being exacted, and frankly it seems unlikely to me that men are going to off a woman like that.
There was one woman who was caught red handed. Her name was Kallipateira, and she had personally trained her son in athletics. When he competed at Olympia, she disguised herself as a man and sat in the box with the other trainers. When her son won, she got a trifle too excited and was caught out.
They didn't have the heart to exact the penalty, so they let her off. Ever afterwards, the trainers of the athletes were required to attend the Games stark naked, to prevent another woman pulling the same trick.
There was one woman who was required to watch. That was the Priestess of Demeter from the city of Elis. Olympia lay within the boundaries of Elis and the Eleans supplied all the officials. No one fully understands why a priestess of Demeter had to be there, but we know the contests were considered invalid unless the Priestess of Demeter had watched. There was no temple to Demeter at Olympia, which makes it even weirder.
Oddly, the rule forbade only married women. As a result it's become a standard meme on the internet that virgins could watch the Olympics. This is helped by an ancient writer called Pausanias having made some vague statements about seeing virgins at the Games.
Let's think about that. We have a stadion filled with tens of thousands of drunken, sports-crazed men, and scattered in amongst them are a bunch of teenage virgins.
I don't think so!
What is very likely is that fathers brought along unmarried daughters, to matchmake them with eligible bachelors from other cities. But there's no way virgins were in the stadion when the contests were held. It's just a recipe for disaster.
Normally, when I write my mysteries of Classical Greece, I take the most liberal possible interpretation of the status of women consistent with known history. But this is one instance where I'm a rock-solid conservative. The only women watching the Games were the Priestess of Demeter and, maybe, a few of her assistants.