Unfortunately, this wallet is not a Faraday shield... far from it. An effective Faraday shield is not an easy thing to accomplish.
Fortunately, to protect RFID cards, you don't need a Faraday shield. You don't need a shield at all. All you need to do is detune the antenna and the RF circuitry inside of the card. This is easily done by putting a piece of metal (kitchen foil will do just fine) into close proximity to the card. And this is, of course, harmless to the card. When the card is taken away from that piece of metal, the card returns to working just fine.
A simple piece of kitchen foil cut to about the size of the card and put into the wallet pocket where the card is kept will work just fine.
This is works not by blocking radio signals -- that's the Faraday shield and that's hard to do -- but by capacitively shorting together all of the RF circuitry inside of the card rendering that circuitry temporarily nonfunctional. When you thing about shorting out circuitry, you often conjure up images of arcs and sparks and destruction. But that's not what happens here. Shorting out the antenna and the RF circuitry means that they just don't function as a radio anymore until the short is removed. It's safe, harmless, and effective.