This sounds a lot like me. Or if I didn't want to make waves, I'd probably just decline to go, and when asked why, I would simply explain that going that long without vaping was not possible for me, because it's not -- I never could go more than an hour without smoking, and it would be very difficult for me to go that long without vaping. I also have read a little about the OP's struggles to become smoke-free, and given that, it does seem her daughter could be a little more understanding. We all do many things for our parents that we would never do for anyone else, because they're our parents.
If it's a case of a true physical reaction or allergy to the vapor or something in it, then I would certainly be willing to not vape in the vehicle, because it's one's child; we do things for them too, that we'd never do for others, but I'd certainly insist on frequent and regular stops in order to pacify my habit -- it's a compromise, and those should always entail some give and take from both sides.
But I'd certainly never dream of outright derogation of someone's child, because I wouldn't like it if someone did that to me about my child; it's just not nice or well-mannered or kind. Apparently the OP survived, so it's really a bit beside the point anyway, but maybe there should be better communication between those who find themselves in these kinds of situations; I do feel that courtesy should go both ways. It was one thing when we were puffing on stinking weeds, but now with vapor, we do deserve a measure of respect and courtesy ourselves. We are not the devil's children because we enjoy/desire/need nicotine.
Andria