Thanks for the info, I appreciate it.
I'll give it another couple days but I think there is something wrong, either a bug or a procedure that needs better documentation. I received an email from updates at itch saying the game was published almost intermediately. The email detailed all the things I should do to promote my game, most of them are useless tasks if the game is not yet visible in the index and you can't purchase it yet. There was no mention that I should wait a day or so.
As it stands now, you can see the game in the index, purchase it on the website but you can't purchase it yet in the itch client. Hopefully, it is just a network glitch.