Zetsubou no Hantou: Hyakunin no Brief Otoko to Hitori no Kaizou Gal

The story starts off on a deserted island with a woman shouting "I ain't a chick!" while being chased by 100 sex offenders in underwear.

It's a struggle of survival on a deserted island between this woman and the different groups of men who are against her, some of whom might turn out to be allies.