If we had as trivial of vaccinations for smallpox, anthrax, and rabies as we have for HPV, I'd collect them all. One fewer risk in my life, and a finite reduction in the risk of everyone around me's life, with no downside at all.
1 pin prick * 340,000,000 people > 340,000,000 people * 6.1 cases of cervical cancer * 0.9 efficacy / 100,000 people
Your world view assigns equally negative utility to at most 18,214 shots as 1 case of cervical cancer.
Put another way: If you were told you had to either take a shot every day, or you are guaranteed to get cancer, would you really choose the cancer?