Well, this is a sad situation to find yourself in. But it happens: small kitchens often have very limited storage space and it seems drawers are often the most scarce commodity when things are tight. It can help to read here about drawer-less kitchen storage and then decide: how do you use that single treasured drawer?
Silverware? Linens? Cooking utensils? What about rolls of plastic wrap, foil, parchment paper? How would you (or do you) put a drawer to use if it's the only one in your kitchen?
Related: Storage Alternatives for Drawer-less Kitchens
(Image: Flickr member Jax Photography licensed for use under Creative Commons)