Upvote:3
Some airlines require the credit card to be supplied at check-in. Some will even prevent you boarding at the gate if you check-in online and have hand luggage only (Cathay Pacific has been known to do this). Some airlines don't obligate you to provide the credit card at check-in if you specify that the person paying is not flying (e.g. British Airways). Some airlines require you to show the credit card on the outbound and the inbound (Royal Jordanian has done that to me). If an airline requires you to show credit card, this is sometimes indicated on the itinerary, and sometimes can be solved by the credit card holder going to an airline office or airport to prove ownership. Some airlines will accept a photocopy of front and back of the credit card.
If your father can accompany you to the airport that would undoutedbly resolve any potential problems. Check-in is before security.