The word "out-stepping" refers to exceeding or surpassing a limit or boundary. Therefore, antonyms for this word would be terms that imply staying within those limits or even falling short of them. Some potential antonyms for "out-stepping" might include words like "complying," "adhering," "conforming," "restraining," "limiting," "moderating," or "holding back." Such antonyms suggest the presence of caution, self-restraint, or a respect for rules or boundaries. While "out-stepping" might connote boldness, ambition, or a willingness to take risks, these antonyms present alternatives that value stability, order, or safety over such qualities.