What does this button mean and how would these charges be retrieved if accidently deleted?

When an employee uses the "delete" button from that view, the system does not actually "delete" the charge- rather the system marks the charge as a "non-business charge" and by doing so, that causes the charge to drop from the users list of available charges.

When an user 'deletes' a credit card charge, they can later retrieve that charge and apply it into a report if they use the "find" button from the cc view, then look for non-business charges-that is where the 'deleted' charges go.

Notify Support if you have deleted a credit card by mistake so they could could set it as business charge so you could see the charge again.