Trust me all the cancers you get from this are serious. Cervical is very bad, another that is mentioned is liver.
Even though HPV is considered a cause of cervical cancer, only one out of 1,000 women with HPV develops invasive cervical cancer (ACOG, 2000). Most HPV infection never leads to the development of cervical cancer even in the absence of medical intervention and treating precancerous cervical lesions detected by Pap tests has greatly reduced the rate of invasive cervical cancer (Ho, et al., 1998; NCI, 1999a).
If the result of vaccination is fewer pap smears then it could have the opposite effect than intended.