Antonyms for the phrase "deem worthy" are quite straightforward and can include words such as "undeserving," "unworthy," "unsuitable," "inadequate," and "unqualified." These words signify that the subject being referred to does not merit attention, recognition, or praise. The opposite of deeming something worthy is to find it undeserving or unsuitable for consideration, therefore, antonyms such as "worthless," "unimportant," "insignificant," "insubstantial," or "trivial" serve to negate the positive evaluation that is inherent in the phrase "deem worthy." It is essential to note that antonyms for "deem worthy" depend on the context and the intention behind the assessment, and therefore can have different meanings in different situations.