"The other glaring obvious problem with the HPV vaccine is that likely wears off long before cervical cancer develops. To give a girl a vaccine at 11 years old for a cancer she might get at 50 is pointless crazy given the dangers of this vaccine. "
She may get the cancer diagnoses at 50 but that doesn't mean she got infected with HPV at 50. In most cases HPV causes cancer slowly over time. I also find that the statement "for a cancer she might get at 50" a bit misleading. Sure she could get it at 50. But almost 40 percent of cancer diagnoses are before the age of 44.
"Approximately 0.1% were diagnosed under age 20; 13.8% between 20 and 34; 25.7% between 35 and 44; 24.2% between 45 and 54; 17.0% between 55 and 64; 10.7% between 65 and 74; 5.8% between 75 and 84; and 2.6% 85+ years of age. " http://seer.cancer.gov/statfacts/html/cervix.html
Additionally, your statement that giving a young girl an HPV vaccine is "pointless and crazy" to be incorrect as well. HPV peaks at about 25 years of age and cases decrease as you get older "Across all geographical regions, data on HPV prevalence were generally limited to women over 18 years of age. Consistently across studies, HPV infection prevalence decreased with increasing age from a peak prevalence in younger women (< or =25 years of age). Genital HPV infection in women is predominantly acquired in adolescence."
So it makes perfect sense to give a teenager an HPV vaccine.