You might want to play some rounds at Mensalgaard Golf, a golf course in the heart of Gudmindrup. If Mensalgaard Golf doesn't quite scratch your golfing itch, Odsherred Golfklub, and Odsherred Golf Club are also nearby.
You can spend an afternoon exploring the galleries in Berit Othman Atelier in Norre Asmindrup. Amble around the area's forests or experience its art scene.