This will confuse you even more:
I have a Target Red Card (credit card). But I didn't want to use it. So as I pulled out my bank card, the cashier asked if I'd like to use my Target card. I said, "No, I don't want to rack up the balance. Today I'll use my (1st bank) debit card that takes from my checking account."
He then said that my Target Red credit card can also act as a debit card too. And he asked again if I wanted to use it.
I drew a blank stare, and just used my bank debit card.

Not sure how it can do both, when my Target credit card isn't even linked to my bank account anyway!
Maybe there's a way for them to link your Target Red card to do both (credit and debit)?? Who knows, but I like what I have now, so I'm not changing anything!