The current procedure is for plugin’s code to be reviewed for approval:
- what you can do is to make sure you provided complete and working code
- what you can hope for, is that reviewers (unpaid volunteer reviewers by the way) are not busy with something else at the moment
So essentially it is as long as it takes.
Pro tip – plugins from known (in a good way 🙂 developers tend to be approved very fast and with less (to none) scrutiny.