Was served with a Complaint filed against me in District Court in Ky. What are acceptable reasons for not being able to pay a debt to a credit card company that can be filed in the Answer?

Honestly, there isn't a defense that has ever won, except for claiming that the account was not yours and that your a victim of identity theft, however unless that is true you then you can not claim that.

You could however claim that you want to make payments however they refused to accept the amount you could afford to pay. My firm had sued a debtor and got that answer and the judge forced us to accept $10 per month on a $7,000 credit card bill; however the woman had to jump through rings of fire to prove her limited income.

Lastly, if this was a sub-prime card, you could try to claim you had been a victim of predatory lending, but then your going to need a good attorney; so it might be cheaper to just workout a repayment plan.