The vaccine will have its own risks (including death), the disease it is supposed to prevent is relatively rare (compared to the childhood diseases for other vaccines), the cure for the disease is relatively effective.
It's a preventable cancer. If I had a choice, I think I'd choose to not have cancer than to catch a cancer that's 'not too bad according to palmer'.
The risk of death from the vaccine is miniscule compared to the risk of death from cervical cancer. Far from being "relatively rare" cervical cancer is the second most common form of cancer in the female population. The treatment is effective because many women get a yearly pap smear that allows doctors to catch the cancer early on, but the treatment is still painful, expensive, and frequently results in sterility.
The cure for cervical cancer weakens the cervix and puts future babies at risk. Google "incompetent cervix" to see how many perfectly healthy babies die because mom's cervix was too weak to carry them to term. If cervical cancer is prevented rather than cured after the fact, some of these babies will live.