Consent Rule is a common rule in place in many 1kbwc games. It says that if a card offends someone, makes them self-conscious, or otherwise pushes their personal boundaries, it can be ignored/discarded.
People can attempt to abuse the consent rule by objecting to pointless things (e.g. Triangles offend me, take that card with a triangle on it away right now) or gameplay-related things (e.g. Losing points is so embarrassing, it pushes my personal boundaries, blah blah blah)
It is not recommended to do this unless you enjoy running away from angry players out to lynch you.