A persecution complex is a belief and psychological condition by which an individual or a group believes that, whenever that entity faces adversity, it must be because of symptoms beyond their control, or the hatred of their enemies. For example, someone suffering from a persecution complex will ascribe their individual failures to censorship rather than an individual problem.
According to Roger Gould, M.D., "Sometimes it is an exaggeration of a real situation and at other times it is totally ungrounded in reality, a product of the person's inner life projection onto the world . That is when it is called paranoia." 
Liberals are well known for claiming to be persecuted to avoid having to address conservative arguments on their merits, even in situations in which liberals have the power. For example, in 1998, Hillary Clinton blamed the troubles of President Bill Clinton on a "vast right-wing conspiracy."
In recent years, many liberals have begun abusing the phrase "persecution complex" to dismiss Christians who stand up for their freedoms. Of course, this is merely done to cover up their attitudes which have blatantly fostered anti-Christian sentiment. Attacks on the religious freedoms of Christians can be heard nearly every week from nearly every level of society; the 2012 report "The Survey of Religious Hostility in America" confirmed (what we already knew) that over 600 individual accounts of attacks on the religious freedoms of Christians had occured between 2002 and 2012. 
After dismissing these Christians with their "persecution complex" complex, liberals may often invoke the suffering of homosexuals at the hands of Christians. Though of course, homosexuals actually carry more rights than other Americans in the form of employment discrimination and hate crime legislation. This is yet another blatant example of liberal hypocrisy.