A deceased person has credit card debt only in their name is the spouse responsible for that debt in the state of Florida?

If the card was only in the deceased's name AND the surviving spouse was not a listed authorized user AND the surviving spouse never used the card for his/her own purchases, the spouse is not responsible for the debt. The estate is liable for the debt, so no assets of the estate can be distributed to the heirs at law or by will until the debts of the estate have been paid. If the debts exceed the estate's assets, it may file for bankruptcy of the estate under state law. Consult a local experienced bankruptcy lawyer.