Dytheism is a theological concept that refers to the belief in a deity or deities who are not wholly good or benevolent, and may even be considered malevolent or evil.
Significant examples of religions that exhibit a dystheistic perspective include the belief system of the Ancient Greeks, who worshipped gods that frequently engaged in conflicts among themselves and manipulated humans for their own entertainment. Another example is Hinduism, where one of the gods, Shiva, is directly associated with deliberate destruction directed at people.
The term "morally infallible" refers to the idea that an entity, typically a deity or a divine being, is incapable of making any moral mistakes or committing any morally wrong actions. In other words, a morally infallible being is perfect in its moral judgment and behavior, always acting in alignment with moral principles and never engaging in morally objectionable acts