[4.6.0] GMail account sync (any sync) not completing; mails not updating

Similar (?) bug report: Cannot check Emails (internet works) / messageserver5 Eats 100% CPU of 1 Core (and battery)

Troubleshooting: Collect Email Logs | Sailfish OS Documentation

I’m also confused by your mentioning microG. It shouldn’t have anything to do with SFOS email problems.