Whenever someone creates a Tutorial-type writeup (using the form at the bottom of the Tutorials page), it automatically appears in the New Tutorials category of Tutorials.
The only thing remaining is to give it a permanent home in an appropriate category. The people with this ability are the Pedagogues. Therefore, if it seems like they're taking their sweet time pidgeonholing a tutorial, feel free to tickle them via /msg [Pedagogues]. If possible, please include the name of the existing Tutorials category in which you believe the given tutorial would be most appropriate.
Note: Pedagogues do not have the power to modify tutorial posts in any way. For that, all the standard moderation and consideration procedures apply.