I have actually now received an email with 'welcome to Samsung finance' and an attached .pdf of my signed agreement. Although no email as of yet from Samsung with details of my order (order number, model and colour of phone, delivery method and date chosen etc etc).I had loads of problems ordering the other night too. When my order eventually did go through I didn't receive an order confirmation email from Samsung (I printed the confirmation page) however I did receive an email re the finance. Maybe try contacting Samsung Finance to see if your finance application has gone through.
When ordering my S21 Ultra I had all sorts of problems also. I paid outright that time but their website crashed when processing the payment - like you the bank had taken the payment but on Samsung's end there was no order. It took a few days to get sorted and the money to be returned to me and Samsung provided me with a £100 voucher for the hassle, which came in handy when putting the order through again.