The phrase "dogged footsteps of" typically implies persistence and determination as someone proceeds with unwavering resolve. However, the antonyms for dogged could refer to a lackadaisical approach, with footsteps that are tentative or meandering. Sluggish, lethargic, and apathetic are other antonyms that describe a lack of unwavering purposefulness. Additionally, antonyms such as faltering, wavering, or hesitant could convey a sense of uncertainty or doubt in one's steps. Ultimately, the antonyms for "dogged footsteps of" convey a range of opposing emotions, from laziness to hesitancy, but each of these words can provide a useful contrast to the idea of doggedness as someone forges ahead, come what may.