The phrase "hath qualms" essentially means to have doubts, indecision, or hesitation about something. In contrast, antonyms for this phrase could refer to a stronger sense of certainty or conviction. For example, antonyms might include phrases such as "unwavering resolve," "unquestioning faith," or "unshakeable confidence." Other antonyms may simply express the absence of qualms, such as "unconcerned," "unbothered," or "uncompromising." Ultimately, the choice of antonym depends on the context in which the phrase is used, as well as the degree to which one wishes to convey a sense of certainty, assurance, or boldness.