Is it okay to nap after a workout?

Yes it is. After a hard workout your body needs to recover in order for it to build and repair muscle. However I do recommend that you take in a snack with protein and carbohydrates right after your workout. You need that additional protein to help your recovery process. It does not have to be heavy. In fact, many people recommend drinking a cup of chocolate milk because it has the right balance of protein and carbohydrates. Some other examples are crackers and cheese, fruits and nuts, yogurt, and nut butters.