I was so glad to read that you were actually not considering euthanizing your cat, because your initial post said that you were going to have to if you couldn't find a way to fix her problem. As the thread developed, I thought I could understand why you posted in such a vein, because to you it was a desperate situation and you seemed to want an immediate result, therefore you stated it the way that you did to get (not necessarily attention) but advice. And everyone that thought they could save you some frustration posted and told you what they knew worked for them.
It is something to at least consider that because you cat has suddenly developed this eating the carpet habit, that she is trying to "tell" you something. It could be something as simple as "I'm bored provide me with some creative playtime" or, "why did you change my cat litter to the clumping kind, it hurts my feet" or any number of things that she is trying to convey to you. Animals rarely do things for no reason. If a horse weaves out in the pasture, then he is bored and needs to be exercised or paid attention to. If a dog digs, he his telling you he needs to run or play, or whatever, but there is always a reason. A cat is not going to just sit back on his haunches and look around at all the fine things around him and suddenly decide to rip apart something that is expensive for no reason. A cat doesn't know the difference between a fine piece of furniture and a Goodwill castoff, it can't think that way. It is usually up to the cat owner to take the puzzling behaviour before them and try to figure out what this animal is trying to say, because this is the only way they can "show" you something is not right in their world all of a sudden.
When you mentioned your cat was declawed, some collective claws came out in defense of this poor creature because of the butchery done to her. Those in the know, who realize that declawing is simply a big money maker for vets rose up because of what they believe so strongly, that there are other ways to get around a cat scratching or clawing or acting out. No one here, that I know of is an animal collector, most of the people on this website have little compassion for people who just collect animals and don't care for them. I know my neighbors complain that I collect animals, as I rescue abused and abandoned ones, but my house smells wonderful, my cats are well behaved and I have the room and the property to house them, otherwise I would make other arrangements.I have 20 cats, 10 are feral and never come into the house, but the others are inside/outside and there is fine furniture that they have learned they are not allowed to claw, or jump up on. They do have a room upstairs where they have a couch all their own they can claw to their heart's content, that is what it is up there for- but all the other furniture in the house, they do not destroy. It took time and patience, and no swatting noses or behinds before they caught on what was acceptable and what was not.
I have been on this site for almost a year now, and there are several cat topics that fire up people in their desire to educate others, and sometimes that desire will turn ugly in a thread as others try to get across their convictions about these topics. Declawing, as Airprincess has pointed out, is one of these topics. Another is spaying and neutering, animal and child abuse and in the past these topics have generated a lot of heat.
I hope you stick around, I hope you won't label people because of how they come across your computer screen,as I hope no one here has so labeled you. I hope you will be able to add to the circle of knowledge here as well as learn from it.There are good people here and quite honestly, there is no better cat site on the Internet. I know, because I have looked. Anne has done a wonderful thing in bringing about these pages and gathering up all these members. There is a lot to be learned and plenty of laughs and tears ahead of you if you stick around, read the stories offered her and join up with this community. So if you and I got off on the wrong footing, I apologize. Sometimes, I come off a lot stronger than I want to when it comes to my convictions and beliefs.