|Zach Klopfleisch RPG Venture-Lieutenant, North Dakota—Fargo|
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It depends on the situation and the tactics as written. Sometimes the tactics explicitly state that a monster will pick one PC and focus on them to the exclusion of others. (This even occasionally shows up in tier 1-2.) Sometimes the most intelligent thing for an intelligent enemy to do would be to kill that downed Barbarian because the summoned monsters will only last a couple rounds and can't touch him anyway, the other PCs aren't much of a threat, and although the Cleric is out of the fight for the moment, the Bard/Ranger/Paladin/Druid/Inquisitor/Alchemist/Witch/Oracle/Investigator/Sk ald/Shaman might bring him back up. (This is within the purview of a GM judgment call. I generally wouldn't want a GM doing that at an event I organized in a 1-2 [though context matters,] but I feel it would be perfectly reasonable for a GM to do that in an 8-9.)
There is no rule preventing GMs from killing characters.
On the other hand, it's not a competition between GMs and players. Good GMs won't go out of their way to kill PCs just to ruin someone's day, and an environment where GMs do so is a lot more likely to die out.
There's no way we on the forums can tell you whether or not the GM acted inappropriately. You need to talk with your local venture officer or the coordinator of the event, they can then talk with everyone who was involved and get to the root of the situation. You can also start avoiding that GM: Tell your coordinator that you don't want to be seated at his table, and why.