Hey Vincent!
The error "Dirlist failed copy dir: checkout-order-error"
seems to be related to the file-system permissions of your server. It seems the update process wasn’t able to copy directory contents from one folder to another.
Please re-check your installation’s directory permissions. You should be able to find more details about the error in the PHP error log file and your hosting provider can assist you setting the appropriate file permissions.
As far as the re-installation of WooCommerce is concerned; if you rename the WooCommerce directory name directly in the plugin’s folder; WordPress will automatically disable this plugin as it won’t be able to detect its files. You should then be able to install the WooCommerce plugin again from the WordPress dashboard’s plugins section.
The above-mentioned process won’t affect your WooCommerce data; data will remain intact; as we are only manipulating files, and not the data.
I suggest you re-install WooCommerce after ensuring that the server’s file permissions are correct. You can delete the renamed WooCommerce directory after successfully re-installing the WooCommerce plugin.
Let us know if this doesn’t help or if you have questions.
Best!