The same thing was true when we first started having automatic teller machines. And some folks are still leery about automatic direct deposit of their paycheck or government benefits checks. The fact is that it will take it a while for people to get used to the methods that are available even if they are secure. Of course, if you're a business that generally takes orders via a purchase order from other businesses and then invoices, that procedure will be the same online. That brings me to another observation.
Many businesses dealing with consumers can make the issue vaporize as well.
What they do is they take payment or verify orders via other means. For example, they'll let a customer place an order online and then call to verify the order and take credit card information. Or they'll take an order online that includes the credit card number but call to pick up the expiration date needed to process the card. One business I know actually sends out small information products with an invoice as the first part of the product. Direct sales is one of the basic ways to increase your profitability online.