Video of Representative Mike Rogers being held back after lunging at Gaetz was viewed more than 3.8 million times on social media.
Many Twitter users praised the Democratic congresswoman, who also donned an orange blouse that matched the book's cover.
Not long after the tense exchange, Representative Kevin McCarthy, a California Republican, finally won the House speaker position.
"I didn't think this summit went well for the president at all, more importantly for the U.S. national security," Mike Rogers, a former Republican congressman said.
"The only time the president is not shooting himself in the foot on the Russia investigation is when he's reloading the gun," Mike Rogers, a former GOP congressman, told CNN.
The accusations come as the NSA chief says not enough is being done to counter interference in 2018 midterms.
The law allows U.S. intelligence agencies to collect vast amounts of communications from foreigners, but often incidentally scoops up the communications of Americans.
The comments by Admiral Mike Rogers were in response to questions during a U.S. Senate hearing.
Rogers, chairman of the House Intelligence Committee, said it's difficult to keep track of all Americans who have trained with ISIS fighters
Mike Rogers said Washington should undertake a range of military, police and intelligence assistance