DirectX continues to be supported in Windows 8. Many of the desktop technologies (if not all) that you could create desktop applications with on Windows 7 you can still do in Windows 8. It doesn't matter if it's DirectX, MFC, XNA, WPF, Windows Forms, etc. So yes, you can continue to use DirectX 9.
Using DirectX 11 will of course get you the benefits of new features that 11 has over DirectX 9.
Desktop applications will continue to exist for quite a while. Not every app is well suited to be a Windows Store app (think the new Start screen). Applications like IDEs, the Photoshops of the world, the Pro Tools of the world (digital audio workstations), etc. will likely continue to be desktop apps for the foreseeable future. So really, the desktop application story hasn't changed much in Windows 8 as compared to Windows 7.
The one exception of course is Windows RT (ARM-based) where deployment/install of 3rd party desktop applications is not supported.