I think the woman was rude to make an issue of her preferred form of address on the air - if she has an issue about how to be addressed, she should have mentioned it during the introductions before the interview started.
As far as the actual title goes - i think the title of 'Chair' has less to do with Womens' Lib than the simple evolution of language, which occures all the time, and rarely at the behest of anyone with an agenda in mind.
If people prefer not to have their job title as tgender specific, than that is their eintitlement, but i would again point out that in the case of introductions to be made, it is manners to point it out to your interviewer in advance to avoid any conflict.
If I were particular about my job title - and I'm not - i would make the point discreetly in adnvance of introduction in any public forum, but even if i had done so, and my request was not adhered to, i would think it discourteous to make a point in public, or in this case, on air, i would simply let it go, it's not worth embarassing a complete stranger, and making myself look snooty and pompous as a by-product.