I would. Maybe I'd be a little suprise/suspicious, but I sure wouldn't turn down an opportunity. I'm a 19 year old male for the record. Maybe it's a little different with women (men in general will seem suspicious, and even attractive guys get turned down by pretty ugly women from my experience), but I know I wouldn't turn her down.
I'd definantly keep a close eye out for guns/sharp obeject/baseball bats of course.
And I'd be sure to please so there'd be no chance she would want me dead afterwards, and maybe be asked for a repeat performance.