There may be one of several things happening here. Most likely, a rejection of one or more accounts by your financial institution simply means that you entered the wrong account information. As a result, your financial institution cannot find an account to accept the deposit and rejects it. If this happens, you can expect part of your tax refund to be issued in the form of a paper check. However, your deposit(s) should go to the accounts with accurate information. If you entered the wrong account information, but it is accepted by your financial institution, then your tax refund might go to the wrong account. But it wouldn't be rejected. In this situation, you'll likely have to sort it out with your financial institution, as the IRS will not help you correct this mistake.