There are only certain credit cards that have the RFID tags that can be copied from you pocket or purse without the card being stolen. The people that have these cards should have been notified by the card company to destroy them and have been reissued new ones. Call you card company to find out if your card has the RFID tag and get rid of it if it is.
I use my debit/credit card at Paducah, never had a vendor say they couldn't accept a card.