Arrest warrant? For failing to appear to defend yourself over simple credit card debt?

Credit card debt is a civil matter. If you don't show up to defend yourself, you get a default judgment rendered against you, you don't have a warrant issued for your arrest.

Unless it was an asset hearing, which is held after judgment is rendered? If it was an asset hearing, then yes, you can be arrested for being in contempt for not appearing for that.

Get yourself a lawyer, and do it now.