So there are really three possibilites. You can either:
a) trash and reinstall your original copy of Illustrator 10
b) go to your favourite dealer and get the final version (Apple store, Adobe store, HL/Carracho server...)
or c) not draw in Illustrator.
Let's be a bit more helpful. What *is* the actual path of Illustrator on your system? Did you try and run the app as another user? Is the application on a UFS or HFS volume?
Mac user since 1987. Running Mac OS X 10.9 "Mavericks" on a MacBook Pro Retina 13" & an iMac 27" and whatever's newest for my iPhone 5s, iPad Air and AppleTV 3.