I re-read the rule again last night, and I think maybe I have been playing incorrectly - I am a new player.
Up until now, when I moved to a gate that had a monster on it, I thought I would get drawn immediately to the other world (i.e., without fighting or evading the monster(s)). As I re-read the rules, I think that was wrong. It looks to me like this is the right way:
1) Arkham Movement: Land on gate -must fight or evade monster(s) on gate.
2) Arkham Encounter: Now is when the investigator gets drawn through the gate to the left area of the Other World.
3) Other Worlds Encounter: Since the investigator was sucked through to left area of the Other World, he or she now has an Other World Encounter
Is this correct?
Mike