Pending modules not visible in "My Modules" directory

[Mikel]

Hi all,
I’ve recently published a module and it still shows as pending. I can’t see it in the "My Modules" directory overview – although I can navigate to the module page directly via URL. 
Two questions:

1. Is it intentional that even the author doesn’t see their own pending module in the overview?

2. What’s the process for a module to move out of pending status? Does it require manual review or certain criteria?

Thanks for any insights!
Cheers, Mike