If your game was paid (and especially if it's your first project), it will almost certainly require manual review by the staff.
I can't tell you if switching to free-to-play makes any difference in the queue, and unfortunately, no one can tell you exactly how long it will take. That's private information handled by the staff, and this forum is answered by the community, not by Itch support.
Personally, I always recommend that people wait at least two weeks before assuming there's been an error and contacting support, as I've seen in several posts that most cases are usually resolved within that time. During periods of high demand, that timeframe can be three to four weeks, but that doesn't seem to be the case right now.