You could try using an alpha matte above the card.
Draw a shape that ends on the portal where you want the blur to be.
Blur the edges of this alpha matte layer.
Put the alpha matte above the card layer, and set the trkmatte of the card layer to “Alpha Inverted” of this alpha matte layer we just made.
This will make the credit card show up wherever that alpha matte layer is NOT.
Use the blur on the edge of the alpha matte layer to blur the one side of the card where it touches the portal.
It should look like this:
The red area is what the alpha matte should look like