Set a pass rule before playing
Choose a tone together and give every player an easy way to pass.
Set expectations first
Read the general theme and examples together. Agree that anyone can pass, reroll, switch to a different game, or stop. A result from the dice is a suggestion.
Choose a conversation-first game
Date Nights Question Dice Game uses questions and explicitly allows players to move on from an uncomfortable question. If you want a broader group activity, see the adult board games guide.