The problem with communicable diseases is that one person's decision not to get vaccinated can affect other people. That's why kids without tuberculosis vaccinations aren't normally allowed to attend public schools in the developed world: because your choice supposedly affecting only your own child can lead to a great many other kids getting sick. If you don't give your daughter the HPV vaccine, not only are you threatening her own life (which I think, as a parent, is utterly irresponsible), but you're potentially threatening other people as well.
Seriously - cut the hyperbole crap.
Nobody's daughter's life is being "threatened" in any normal sense of the word by not taking this vaccine. There are 150 million women in the United States and less than 10,000 cases of cervical cancer a year. The fatality rate is about 4,000 (40%), and about 9,000 (90%) of the cases are HPV related. Supposing this vaccine has a 70% prevention rate for HPV, that gives us 6,300 preventable HPV-related cervical cancer cases annually and about 2,500 preventable HPV-related cervical cancer fatalities.
IOW, the chance of a female in the United States dying from HPV-related cervical cancer in the next year is 2,500/150,000,000 or only 25 out of every 1.5 MILLION people.
Put another way, you have a better chance of dying from a coconut falling off a tree and hitting you on the head.
That is only if she is sexually active. She's not endangering anyone's lives if she is not sexually active.
"The problem with communicable diseases is that one person's decision not to get vaccinated can affect other people. "
As long as you get vaccinated, then what do you care? As long as the shot is available to those other people, shouldn't it be their decision instead of yours?