You examine the tail, dragging a finger down its length and producing a long squeak. Looking where it's attached at your tail bone, you can see that there's no latex aside from the tail. At the tip of your spine, your natural skin just seems to end and the latex seems to begin. This isn't a particularly good situation, but it looks like you're stuck in it for now. The best thing to do is to try and make the most of it.
Focusing all your concentration on the tail, you try to make it flick to the left. At first it refuses, wavering calmly and randomly, but eventually it complies and quickly moves to the left. You then try to bring it back. Again, it appears to resist for a moment but then does what you're trying to make it do. Relaxing for a bit, you watch the tail idly as it moves on its own. Are you in control of this thing or aren't you? It's hard to tell. You lack sensation on it, and can't feel anything that touches it, but it still does what you want it to (sort of). Maybe it just takes some getting used to, you assume, watching the tail slowly wriggle back and forth, its almost hypnotic trance-like motion surprisingly calming. So calming, in fact, that you manage to forget just a little about how hard life would be if you had to live it with a cat's tail. It's not much relief, but you take it and let it distract you from the situation at hand, if only for a moment.
Unfortunately, it also distracts you from the tail, which has slowly begun to move towards your face. By the time you notice, it's already less than an inch away from you, and seeing how close it managed to get makes you jump a bit and let out a short little shout... giving it the opportunity it needed to make its way into your now-open mouth, forcing itself down your throat before you can protest. You grab it and try to pull it out, but it's holding its ground and you can't get it out. Already, you can see it swelling a bit as something moves up its length, and then you can feel that something filling your stomach as it pours out the tip of the tail that's now deep inside your esophagus. You keep pulling, of course, but by now you can tell that it's a futile effort. It's not until you're quite full of whatever it's been filling you with, your stomach having gained a noticeable bulge from all of it, that the tail disengages and resumes its calm wavering behind you.
Your immediate reaction is to throw up, and you succeed there, but all that comes up is your last meal. Whatever you've just been pumped full of, it's not coming out.