The worship of Satan is, as others have pointed out above, nonsensical. To worship Satan is to practice Satanism as inverted Christianity; the symbol of this kind of "Satanism" is the inverted cross, all of its rituals are those of Christianity perverted, The Lord's Prayer recited backwards, etc.
Satanists who have a greater agenda than rejecting their Christian upbringing practice Satanism as a way of life using Satan as a role model; that is to say, they consider their self as their focus, they seek to exalt themselves, to revel in earthly sensation, gratification, sexuality, etc. They reject the principle of subservience to God as Satan himself did. Why they choose to call this belief "Satanism" rather than "egoism" is another question.
Presumably Timothy Archer's thoughts on Satan are based on the actual ideas of Philip K. Dick's friend, Episcopal Bishop James Pike.