Thank you! I deleted the Jetpack directory with FileZilla and the site is alive again :-). Some part of WordPress still thinks JetPack is there as this message shows in the Plugins admin area:
The plugin jetpack/jetpack.php has been deactivated due to an error: Plugin file does not exist.
I’m having this timeout issue at GoDaddy trying to update the WordPress version itself as well. It gets to the “unpack” stage and dies.
Thanks again for your help!