M. Loyal's name is ironic. He was at one time connected with Orgon's family. Now he is there to evict Tartuffe and his family from their home. Tartuffe used to have a good relationship with Orgon, but now that that relationship is over, he is more than willing to abuse Orgon and throw his family out on the street. Thus both M. Loyal and Tartuffe have, in fact, no loyalty to Orgon and his family.