You've had the option to settle out of court ever since you first stopped paying the bill (or paid too little. I know times get rough, so that's not a judgment on your character, it's a judgment on what you never bothered doing.) The credit card has had enough waiting for you to pay it back. They're taking you to court. You can not show up, but that means you concede you do owe them the full amount and they win. If you show up, you have a slim chance of setting up a payment plan. By this time, I doubt this can be settled out of court, simply because credit card companies have to be royally pissed if they're taking this to a court. (They usually hound first and then send it to a couple of collection agencies before they take this step.)
Personally? If'n I were you, I'd go to court and tell my side of the story. BUT come prepared. Those health problems are over? (And, really? You thought paying health bills was more important than a credit card? Not when it comes to your credit standing.) Get your butt in gear, figure out how much comes in per month and how much goes out, and then come up with a reasonable amount of money you can pay each month to get that credit card bill. (Hint: It has to be more than minimum balance payment.) Oh, and expect to give up that credit card. You obviously can't afford to buy more stuff on it, if you haven't paid what you owe now.
Now, that's the human side of what you're facing. Hopefully others can tell you more of the legal side. I know what to expect, but that's why we made sure the credit company never took us to court. We really did have a slew of health problems that left us disabled, so we declared bankruptcy, before the credit card company got as pissed as they are with you. (Told you, I wasn't judging you on your lack of paying the bill. lol)