The phrase "laid at door" is often used to mean attributing blame or responsibility to someone. The antonyms of "laid at door" would be to absolve, exonerate, or acquit someone of blame or responsibility. These words suggest that the person in question is not accountable for whatever situation or mistake is being discussed. Additionally, synonyms for these words may include vindicate, clear, or release. When someone is absolved or exonerated, they are considered innocent or free from wrongdoing. It is important to recognize and appreciate when someone is not at fault, rather than always looking to assign blame.