It would be much healthier culturally if we take into full consideration the meaning and intent of the accused, as well as the feelings of the apparent victim. Which I feel like the OP's comment highlights.
For ex, the moderator could have been oblivious to the fact she hadn't spoken much, as the only woman there, and when he asked the question he may indeed have been so excited that he spoke for her. The kind of people who get moderator jobs at big events like this are the extrovert types. The ones who talk before listening... so I don't think that is entirely unrealistic here.
An extrovert too busy looking for a chance to talk himself, instead of being sensitive to the amount others have spoken? This just as likely as him believing he could do a better job at explaining the subject, merely because she was a woman.
So if we look at the objective facts: that a lone woman on a panel wasn't allowed to speak, even when her expert subject was brought up, would seem like the moderator was sexist. But digging into the context it's possible there was far more to it and this is often lost in the shades of grey when you only view it from a single perspective.
Nonetheless, I do agree there are pitfalls and dangers in attempting to always distill nuance and shades of gray into stark, problematized blacks and whites. Sexism, like racism, definitely exists—it is woven into the cultural fabric and narratives that compose American society and consciousness. However, we are long past the overt institutionalization of these isms, which leaves recognizing it a regrettable slog through subtler shades of gray that leave opportunities for vehement disagreement. Sometimes I think everyone would be happier if they lived several decades ago, when these isms were black and white, and found themselves standing in solidarity on their own bridges of Selma.
As an example in physics of a situation where multiple observers have to be reconciled, imagine a spaceship zipping along at some fraction of c, observed by two observers, both of whom are moving some fraction of c relative to each other. Their observations of the length of the spaceship don't match up naively, but special relativity tells us how to reconcile their measurements: This allows us to consider their measurements as describing the same underlying phenomenon.
In this situation, one of the observers, A, can infer what B sees because B's measurements should only depend on properties of B that A can observe. So A can construct B's measurements by observing B, without B having to do anything. This is a very easy epistemological situation to deal with.
In a complex social situation, A can't take independent measurements and get the big picture. B needs to tell A about how they perceive the situation. Furthermore, B can't reasonably tell A everything all at once: Imagine if we had to spill all of our guts every time we wanted to reach a common understanding. Nothing would get done! So, reaching common social understanding needs to be a process, a dialogue between people.
Understanding phenomena like sexism involves communicating and interacting with each other in order to understand how we communicate and interact with each other. It's a much more complicated epistemological situation than observing an external object, like a spaceship. That's why I think you won't be able to get a satisfactory definition that you would consider objective, especially one that fits in a hacker news comment.
The only way I see is to have an objective definition, which can be objectively applied no matter which glasses I wear. What would that definition of sexism be?