I’m guessing you’re talking about Gardasil. I’m pretty sure they would need permission if you’re her guardian and she’s a minor; however, your best bet is to check their website. I know they have a parent/guardian section there.

Best of luck.

PS. The Gardasil vaccine is like the Hep B one: you have to get three shots, spaced between months. Did they do all three shots without you knowing? That’s a long time to be left in the dark…