Shippingfree scam site

Hey, thanks to this sub, I caught a scam site before giving my credit card info to them. It was a click through link inside Best Buy’s mobile app that was in Best Buy’s other deals section. The deal said 25 dollars cash back through shipmentsfree dotcom and since this was in Best Buy’s mobile app, alarm bells didn’t go off immediately so I went to their site. I gave my email to them, but when it got to a cleverly disguised payment page I stopped before giving them my info or doing any transactions. How much trouble am I in? I know there probably isn’t much they can do without my credit card information, but I’m worried that my credit could take a hit if they somehow are able to say that I haven’t paid them for something that I “agreed” to.