Understanding or consensus is the only way to keep a relation live. Misunderstand means the breakup of a relation or no consensus for such particular work or activity.
If someone misunderstands you though your intentions are not to direct himself or herself towards loss or negativity of work, then you should justify your points to him or her and make him or her well known about your positive intentions, because for him or her you were talking wrong or you were guilty. If after letting him or her known about your intentions, he or she still don't want to regain the lost gain then you shouldn't try more and you don't need to justify yourself.
If someone misunderstands you though your intentions are not to direct himself or herself towards loss or negativity of work, then you should justify your points to him or her and make him or her well known about your positive intentions, because for him or her you were talking wrong or you were guilty. If after letting him or her known about your intentions, he or she still don't want to regain the lost gain then you shouldn't try more and you don't need to justify yourself.