Ok. That's normal.
If the bank account and stuff is in the email, it means that this is the order creation notification email, so the email that the customer receives before the order payment is done and the invoice is normally only available to the user after the payment. After the payment, a second email is sent to the user to notify him and the PDF invoice will be in this one.
However, if you go in the options of the PDF invoice plugin, you should find an option "Statuses for email attachment" to enter the status for which to send the PDF invoice. So if you want to send the PDF invoice when the order is created, you want to write "created" in that option.