Here is the other window next to our sliding glass door.

Have you considered woven shades? They work very nicely in rustic settings.

Maybe a roman shade

kjg3 has the perfect idea. no valance on a tiny window.

Do you really need a window covering? doesn't look like privacy is an issue.

Thanks everyone! How should I dress the sliding glass door next to the window? Does the shade I use for the window and door have to match?

The shades on the doors and windows don't necessarily have to match, but they should be coordinated.

If you go with a woven shade or a Roman shade, you can get those products in a vertical application. Hunter Douglas Vignette shades and Woven Woods shades are available in both horizontal and vertical applications, so you can use the same fabric on the windows and door.