In the end attitudes like Naomi's will only be changed when the cars become commonplace and demonstrate empirically that all her fears are mistaken. That's not to say that the concerns shouldn't be there in the first place -- this technology obviously has the potential to go wrong, and we shouldn't just adopt without testing. But equally we shouldn't reject the idea out of hand. Every criticism that has been rasied by eg TTT is either directly addressable, or can be just as easily applied to human drivers. For example, humans are normally good at telling a flower from a small child but our vision isn't always perfect either, and people can misread what's going on just as often, and make the same mistakes.
It is just irrational to assume that because computers cannot be perfect they must also be incapable of being better. Whenever this objection has been raised in the past, it's always been utterly wrong. So it will be with driverless cars.