Administrators must use their best judgment, attempting to be as impartial as is possible for a fallible human, to determine when rough consensus has been reached. For example, administrators can disregard opinions and comments if they feel that there is strong evidence that they were not made in good faith. Such “bad faith” opinions include those being made by sock puppets, or accounts created solely for voting on the deletion discussion. If a rough consensus holds that the nomination was made in bad faith, the page may be speedily kept.
If the major stakeholders have not been notified of the proposed deletion or given time to respond, reliable consensus determinations will rarely be possible.
Consensus is not determined by counting heads, but by looking at strength of argument, and underlying policy (if any). Arguments that contradict policy, are based on opinion rather than fact, or are logically fallacious, are frequently discounted. For instance, if someone finds the entire page to be a copyright violation, a page is always deleted. If an argument for deletion is that the page lacks sources, but an editor adds the missing references, said argument is no longer relevant.
Wikipedia policy requires that articles and information comply with core content policies (verifiability, no original research or synthesis, neutral point of view, copyright, and biographies of living persons) as applicable. These policies are not negotiable, and cannot be superseded by any other guidelines or by editors' consensus. A closing admin must determine whether an article violates these content policies. Where it is very unlikely that an article on the topic can exist without breaching policy, policy must be respected above individual opinions.
Per "ignore all rules", a local consensus can suspend a guideline in a particular case where suspension is in the encyclopedia's best interests, but this should be no more common in deletion than in any other area.
Biographies of living people
The possibility of harm to living subjects must be considered when exercising editorial judgment.
With regards to living people, a closing admin must take into account the policy on Biographies of living persons along with our deletion policy for biographies. When closing an AfD about a living person whose notability is ambiguous, the closing administrator should take into account whether the subject of the article being deleted has asked that it be deleted. The degree of weight given to such a request is left to the admin's discretion.