Forcing one to use a drug is not freedom.
She has every right to refuse that drug.
Then change the law. You seem to think that if you don't like a law, you can ignore the law. Then you will scream about illegal aliens and Obama and his birth certificate.
Be consistent. I did not say this law was good, nor bad; however this IS THE LAW. I am in favor of enforcing our laws, I am not in favor of picking and choosing which laws you want to follow.
Now let's think this one through for a second.
This is a vaccine, like vaccines that are required on every student to attend elementary schools (small pox, polio, flu, etc.). Most vaccines are done for the benefit of society as a whole. In this case, giving a person an immunity to a sexually spread virus that is tied to cervical cancer, seems to be a good thing. She may not be sexually active, but is her future husband banging everything that moves?
This is not a drug, this is a vaccine.
And it is the obvious and predictable corollary to asking the government to prohibit drugs.
For the public good, of course.