Deranged White House Correspondents’ Dinner shooting suspect Cole Allen’s alleged manifest said he wanted to kill any member of the Trump administration he could find — except FBI Director Kash Patel.

Now, federal investigators are trying to figure out why Patel was specifically exempt from the gunman’s screed — and sources told The Post they have a working theory.

Sources said Patel’s specific exclusion likely stemmed from Allen’s purported desire to avoid targeting law enforcement – while focusing squarely on Trump, whom he ranted against in the manifesto.  

“Anything would really just be speculation, but he took the time to go through why he wasn’t targeting all of the law-enforcement agencies, so I think it’s probably related to that,” a law enforcement source told The Post. 

Alternatively, “[Allen] was pretty anti-Christian and Kash is Hindu,” the source said.

Another source said Allen “specifically said he didn’t want to target law enforcement. That’s why.” 

However, the sources said they are still investigating the true motives of the gunman.

Acting US Attorney General Todd Blanche said Sunday that Allen is not cooperating with law enforcement following his arrest.

Allen, who is now charged with attempting to assassinate President Donald Trump, left behind a horrifying manifesto detailing his “rules of engagement” for the planned Saturday night bloodbath – and singling out Patel. 

“Administration officials (not including Mr. Patel): they are the targets, prioritized from highest-ranking to lowest,” Allen, 31, wrote in the 1,052-word screed first published in full by The Post. 

“Secret Service: they are targets only if necessary, and to be incapacitated non-lethally if possible.

“Hotel Security: not targets if at all possible (aka unless they shoot at me),” the anti-Trump madman continued, adding that Washington Metro police officers and National Guard troops were to be treated in the same way. 

Hotel staffers and guests were “not targets at all,” he wrote. 

However, one law enforcement officer was hit in his bulletproof vest after Allen allegedly opened fire and charged toward the Washington Hilton ballroom, where roughly 2,500 guests had assembled for the gala. 

The CalTech grad made a defiant first appearance in federal court Monday, where he was hit with charges of attempted assassination of the president, transportation of a firearm across state lines to commit a felony and discharging a gun. 

He faces life in prison if convicted of the top charge.

Patel said in a news conference Monday that the FBI was “grateful to the United States Secret Service, the Department of Homeland Security and our inter-agency partners…for swiftly jumping into action” at the event.

“That should be celebrated by every single American. They did exactly what they were trained to do. They stopped a massive attack,” Patel said.