Sorry... not an answer... but a "Thank you" for making me giggle this afternoon. =D

Pardon my laughter, but this is a first.....

Inserting a credit card into a computer port?

Uhhhhhhhh.........did she really expect this to work?

Anyway, take the cover off the computer. you should be able to retrieve "the credit card".

If it does not work as you try, you could try to put it apart.

1) Here are the instructions to replace a floppy disk drive, take care that you exactly take note of what you are doing:

"How To Replace a Floppy Disk Drive How-To > PC > Floppy
Caution: Please read our safety information before attempting any testing or repairs.

Before replacing any of the fans, unplug the PC to avoid an electrical shock hazard. Exercise caution as there are sharp edges on a PC and its components. Always wear a static electricity discharge strap when working with your PC's components to avoid damaging your PC.

Unplug the PC.
Disconnect all wires from the back of the PC.
Open the case.
If replacing a floppy drive disconnect the power and interface cables from the drive and remove the retaining screws from either side of the drive.
Identify the position of the #1 pin on the interface connection on the back of the drive.
Choose the location for the floppy drive so that the drive will have a opening in the case's face plate and so that the power and interface cables will reach the drive.
Mount the drive so that he eject button is under (not over) the slot for the floppy.
Connect the interface cable so that the cable's #1 pin matches the drives #1 pin.
Connect the power wire to the drive.
Position the drive and secure with the mounting screws. Always use the screws supplied by the manufacturer. Screws of the wrong size or length can damage the drive.
If it is not already, connect the interface cable to the motherboard's controller labeled "FDD" so that the cable's #1 pin matches the motherboard's #1 pin.
Double check all of your connections.
Replace the cover.
Reconnect the wires removed in step 2.
Plug in the PC.
It may be necessary to configure this drive in the BIOS settings."
Source:
http://www.acmehowto.com/.../replace.php


Once the floppy disk is outside, it could be easier to take the card out.


2) The following reference contains also "a brief video of a diskette being inserted. Look for the silver, sliding door opening up and the read/write heads being lowered to the diskette surface."
So you get a better idea how it is inside.

http://computer.howstuffworks.com/floppy-disk-drive2.htm
http://static.howstuffworks.com/mpeg/floppy-disk-drive.mpg

If nothing works or if you don't make it, you could try to bring the computer to a repair shop and explain the urgency.

You are pulling our crank aren't you?

There is no way that this can be real, this is too funny. I am sorry to hear that your wife has no common sense. It is an easy task to find someone else, maybe you can use that same credit card and get a russian mail order bride. They probably wont even know what a computer is, so your problem will be solved!!!

OMG!! Whether this is real or not..it is hilarious!! There was a question earlier about why there are still Darwin awards...(she is not left unsupervised for long periods, is she?) ;-)

This is the best laugh i had after a long time. Thanks for making my day.

get a nice pair of thin tongs and try to get it out if you are not joking

First, take the computer completely apart. Find a box and pack it securely and ship it back to the manufacturer along with a hand-written note to the manufacturer that your wife is too freakin' stupid to own a computer so you no longer have use of it.
Let us know how that works out for ya!!

Take the computer apart. Unscrew the side part, and then pull the front side out. A normal pc chassis should work. Then take the floppy drive cover off, and try to pull it out with an pair of tweezers.

First-go with Alans answer.

Second, I do hope you married down.