OTOH, my daughter will NOT get the cervical cancer vaccine, because HPV is preventable in behavior
On the plus side for her, even if she contracts the virus the most likely outcome is that she will eventually clear it, as most infected individuals do. The risk for cervical cancer arises from the collision of a rather rare outcome with a extremely common exposure; nearly all sexually active adults will unknowingly carry HPV at some time in their lives. Unfortunately, the combination results in some 12,000 cases of cervical cancer per year, in the US.
The original research that identified the HPV-Cancer link actually had to study Nuns to find a sufficiently isolated population; the virus is actually rather common even in monogamous women. Men are not routinely screened for HPV status, and contrary to common belief infections does not necessarily result in genital warts -- for instance, high-risk strain HPV 16 is exceptionally good at producing invisible infections (which may be why it ranks among the more common of HPV strains, actually). These infections may persist undetected for anywhere from months to years, and while your daughter may remain virgin until her wedding night, the same might not be true for her husband (and oral sex counts as far as the virus is concerned, being related to risk of head-and-neck cancers).
An interesting bit of trivia: genetic material from high-risk strains of HPV can be found in some 15-25% of lung cancers tissue samples. We don't have sufficient evidence to make a claim for a causal relationship at this time, but it's a very interesting coincidence. Also interesting is that high-risk strains of HPV have also been found in the CNS of infants with certain forms of intractable epilepsy (Focal Cortical Dysplasia Type II-B). The more we look, the more places we are finding this virus.