Odds of getting cervical cancer if a virgin?

Almost zero: I'm generally hesitant to use the words "always" or "never" in medicine as nature usually finds exceptions to every rule. But I would say the chance is close to zero as cervical cancer is generally related to specific strains of HPV spread sexually. I do know of one case reported in the literature. However, I'd say you have a better chance of winning the powerball or being struck by lightning.