Refuse! Then, teach your daughters about monogamous, marital sex. If they follow this advice they will never need Guardicil. The vaccine is for a sexually transmitted disease that leads to cervical cancer.
Never is an awfully big word. Hint: are you gonna bet your daughter's health on the hope that your future son-in-law never messed around?
Your decision, obviously: but remember that it takes two to tango. You could consider in the sense of innoculating your daughter against her future husband's past.
They could get it from their husband.
I know of a nice woman who had been monogamous who caught several yucky STDs from her scumbag cheating husband.