Contact TurboTax support for this issue.

See this TurboTax support FAQ for contacting support - https://ttlc.intuit.com/community/using-turbotax/help/what-is-the-turbotax-phone-number/00/25632

Support can also be reached by messaging them on these pages https://www.facebook.com/turbotax/ and https://twitter.com/TeamTurboTax

If you don't have a different card you can try, you'll need to call customer support.  First, however, call your credit card bank to see if they have put a hold on your account or if there is some reason they are denying the charge.

https://ttlc.intuit.com/turbotax-support/en-us/contact

@connorjanet - also, if you call the bank, ask them if they see the transactions being denied.  if they do, it's a problem with your bank / your card. 

if they don't see any transactions being denied, it's a problem with Turbo Tax as the transactions never reached the Bank, 

Thanks for the help! It turns out they don't seem to like debit cards, even when they're Visa. Worked just fine with a credit card.