Going back to version 3.6.4 solves the issue for the moment.
I can recommend the WP Rollback plugin: https://ww.wp.xz.cn/plugins/wp-rollback/
Yes, exactly. Stripe Klarna does _not_ appear on the WooCommerce > Settings > Payments page.
That might be true, but we created an XML feed. Still that error occurs.
Downgrading to the last version worked, however.