
$70 annual fee??? Not to mention probably a second inquiry on your credit...those things add up even though they don't stay on your report for long. We've seen simple inquiries knock down our score as much as 20 points. It recovers within a couple of months, but still...
Watch your credit reports (always check all 3) closely for the next few months. You may have to file a protest to get the entry removed.
I would check the paperwork closely for the BB card. You have to give explecit permission for the credit inquiry and if this second account wasn't part of that agreement then you have genuine complaint with BB financing. Your wife might have to endure a bit more blushing, but BB shouldn't be allowed to get away with that.
Thanks for the heads up.