The word "discountenancing" refers to showing disapproval or discouragement towards a person or an action. Its antonyms, therefore, would be words that suggest support, encouragement or approval. Some antonyms of "discountenancing" include words such as encouraging, supporting, promoting, endorsing, applauding, praising, and appreciating. These words convey positive connotations and can be used in situations where the speaker intends to express encouragement and support to another person or to show approval of a particular action. By understanding the antonyms of "discountenancing," speakers can effectively communicate their attitudes towards particular actions or situations while also inspiring and encouraging others.