The word "more super-eminent" is already at the top level of excellence, which makes it hard to find antonyms that convey a similar level of meaning. However, some antonyms for "more super-eminent" could be mediocre, inferior, substandard or inadequate. These words express a lower degree of excellence or quality, and are opposite in meaning to "more super-eminent." While "more super-eminent" can be used to describe someone who is exceptional or outstanding, its antonyms imply people or things that fall short of these standards. It's important to note, however, that these antonyms should be used with caution since "more super-eminent" doesn't leave much room for anything less.