You can take my game… when you pry my cold, dead fingers off the board!
Talking about this card I guess:
The Order's Influence
Play this card on Magistrate Kroft. While he is alive, Heroes may not use Militia and any Hero, starting in or moving into a space with Militia, immediately takes D6-3 Hits. Heroes with Magistrate's Mandate are unaffected. Place a Militia at 2 Random Locations. If he is dead or joined the Villian, discard and move the Shadow Track 1 step closer to Darkness.
Yeah, I would say you take the hits as soon as you enter a space with Miliita, but that you could then continue the rest of your movement—you don't have to stop. (This is clearer when you consider starting in a space with the Militia... it doesn't say anything about not being able to move at all!)