Hi,
2022-01-10T04:44:34.160502+00:00 shinyapps[5413751]: Warning in system("timedatectl", intern = TRUE) :
2022-01-10T04:44:34.350967+00:00 shinyapps[5413751]: intersect, union
2022-01-10T04:44:34.160503+00:00 shinyapps[5413751]: running command 'timedatectl' had status 1
It seems from the error that your app is trying to perform actions on the system that require elevated permissions. This would explain why things work locally, but not remotely. A post with a similar error was explained that way by an RStudio employee. You should try and figure out which part of your code need to run with elevated permissions and find a workaround...
Hope this helps,
PJ