"But what if you HAVE to because the show you need"
I seriously can't imagine any show that I need to watch, regardless of the wishes of my spouse (and what, she doesn't have her own computer?). But that aside, if there's a site which is truly invaluable, I suppose that I'd be forced to capitulate.
Since it hasn't happened to me yet, I'm not sure what my approach would be, but at a minimum, I'd probably use a special browser installation just for that site, running in a VM.