Revelation 17:4 tells us that the Woman was arrayed in purple and scarlet colors and decked with gold and precious stones and pearls, having a Golden Cup in her hand full of abominations and filthiness of her fornications.

          Of the different articles that the Pope wears when he is installed into office are scarlet.  A vest covered with pearls and a mitre, adorned with gold and precious stones was also to be worn.

                    This answers the description of the Woman dressed and sitting on a Scarlet Colored Beast.