Is it okay for my dog to eat hamburger from a taco?

Today, I was scraping out my plate after lunch (the hamburger from my taco fell out), and my puppy (Missy, 3 or 4-month old Rat Terrier/Chihuahua mix) ate some of the hamburger that I dropped. Is she going to be okay? My mom told me that she would have the runs. (I'm not trying to gross you out) Will she really have the runs?