This would've gone in the User2User Tech section.
But how long of a delay? Seconds? Minutes? Longer?
I have no issues with delays when posting. Maybe a few seconds, at most, while it processes, but nothing more.
Posting the browser you use is also a good thing to note in these posts as the more knowledgeable people will likely ask you.
The title confuses me too. Are you asking if moderators review posts first? If you are then the answer is no. Moderators are volunteers that come on the site on their own time. There is no schedule. The sheer amount of posts that can be made at a busy time would be overwhelming for the Mods.