Based on member requests, it is now possible for you to request a place to be added to TripAdvisor AND write your review at the same time.
In other words, when you request a place be listed via this page:
You will notice that after you request the place be added, you have the option to add a review of it. This will save you having to wait to write your review in order for the property to be listed.
Your review will go through the same review moderation process as before, this just gives you a chance to write it at the same time you request a new listing.