As Brian says above, the front and back elements of the lens are screwed into the shutter. Just get a good grip of e.g. the front element and the shutter in the other hand, then twist as you would normally open a can. If you cannot get a good enough grip, try to push down the lens on a mouse-mat or similar rubber mat, then twist. (Not so good if the lens glass gets in contact with the rubber mat.) Or, an 1/2 " wide rubber band around the front/rear barrel will also improve grip.
If you can see the kitty hair, you can use a pair of pliers to carefully pull it out. Shutter blades are delicate, but not that delicate so that you cannot do this.
Apart from the feline intrusion, it's quite probable that your shutter needs a CLA anyhow, so as Ian says, it the shutter doesn't work properly once the cat is out of the calculation, have the shutter CLA'd. (You can do a search on this forum for "CLA" and you can find recommendations for someone nearby from the search results.)
//Björn