Which word signifies conduct or character that is deserving of disgrace?

The word that signifies conduct or character deserving of disgrace is "ignominious." This term is derived from "ignominy," which refers to public shame or disgrace. When something is described as ignominious, it implies that it is associated with dishonor and a loss of reputation. This adjective is often used to characterize actions or events that provoke a sense of contempt or disapproval, highlighting their morally reprehensible nature.

In contrast, "extirpate" means to destroy or remove completely, which does not relate to character or disgrace. "Fallow" refers to land that is plowed and left unseeded for a period to restore its fertility; it has no connection to conduct. "Impute" means to attribute responsibility or fault to someone, but it doesn't inherently carry a connotation of disgrace. Thus, "ignominious" is the most appropriate choice for indicating conduct that deserves disgrace.