How to connect a card reader (extracted from printer) to arduino uno
I can pretty much categorically say you won't get it working.

I have a similar board here with the same SMSC (now owned by Microchip) chip on it.

The interface is USB plus some other signals.  I have managed to identify the USB portion of the interface on mine, but not the other signals.

The SMSC chip has the option of using an external ROM chip to store its program, and Dell love to do that.  So, it has a custom firmware which means it doesn't get recognized by my computer without Dell's specific drivers installed.  So it's useless.

There's a very very slim chance you may get it working with a USB Host Shield, but unlikely - and at the end of the day, what's the point?  It's just an SD card reader.  Wire an SD card socket direct to the Arduino and save yourself both the headaches of trying to work it out and also the massive pointless expense in buying the hardware you'll need to do the interfacing.