I have also updated my wife's iPhone X today to 13.0 GM and again no apparent issues; mail also working.I don't really understand what are you people complaining about (bugginess).
If I was not running them and just by reading this thread I would think it's an unusable OS.
But I'm running iOS 13 GM on my iPhone 8 Plus and iPadOS 13.1b4 on my iPad Air 2, both with 0 problems.