I wonder if they'll show inquisitors executing people (which didn't happen, the Church had a no-kill policy (torture was ok as long as no blood was shed)), or imprisoning and handing the heretics off to secular authorities.
In practice, they sometimes did - there were a few mass killings by very overzealous inquisitiors, even. Much fewer than what's generally thought, though. Torture was limited (and much more common with secular justice). Generally, the secular punishment was death, so they knew what'd happen when they handed off heretics to secular authorities. Sympathetic courts generally just let the heretics go free - some places even forced inquisitions out thanks to heretic sympathies or dislike for the heavyhandedness of inquisitions.
EDIT: Papal inquisitions were a thing, but they had trouble acting when local rulers didn't want them there. In fact, I'm hoping meddling papal legates and inquisitors become a thing - suddenly swooping in accusing your best advisor of heresy, maybe stripping them of their office. You can stop them, but you'll anger the Pope. I'm hoping it'll be possible to live with heretics in your court without huge opinion penalties and to be sympathetic to heretics, because historically that was fairly common (though so was zealous persecution). For example, the southern lords of the Albigensian Crusade weren't generally Cathars, but they tolerated or even supported them and often had wives and sisters who were.
can you tell i've been writing a cathar essay all week