Trump has turned off higher-income, college educated and younger women "because of how he speaks, how he tweets", said Republican pollster Frank Luntz, while retaining the support of older women and women with lower incomes and without college degrees.
Trump publicly switched stances on potential background check legislation after speaking with LaPierre.
Trump expressed strong support for more background checks after two gunmen massacred 31 people earlier this month in EL Paso, Texas, and Dayton, Ohio. But he reversed his stance just days later.
After two shocking massacres at the beginning of August, Trump initially promised tougher gun controls, a pledge which quickly melted away after he spoke on the phone Tuesday with LaPierre.
But senior Trump administration officials are disputing that characterization, telling The Daily Beast that the NRA pulled a "d-k move" and exaggerated the organization's influence over Trump.
He has a history of inflammatory statements regarding Muslims and others, and said just before the 2016 election that if Trump lost, "I'm grabbing my musket".
"I don't know if populists are pushing Trump or if Trump is strengthening the populists", said Mike Murphy, co-director of the USC Dornsife Center for the Political Future.
"If this all seems like a ruse, an attempt by the president to make it look like he's doing something without actually moving the ball down the field, I think we'll know that in fairly short order".
Boris Johnson's Brexit backstop bid rejected by European Union leaders
Merkel said the backstop was intended only as a transitional rule for the not finally resolved Ireland issue. A French presidential aide added that a no-deal Brexit was fast becoming the most likely scenario.
Currently, federal law requires background checks only for firearms sales through authorized dealers, which means that people purchasing guns through unlicensed dealers are not subject to the checks.
"I want guns in the hands of people that are mentally stable", Trump told reporters.
Despite his vow, gun-control advocates and Democrats were doubtful Trump would keep his word.
The president's position is crucial, because congressional Republicans, who count on gun rights supporters for votes, can not move on tougher firearms legislation without his support. Still, several - Harry Truman, Richard Nixon, Jimmy Carter, George H.W. Bush and George W. Bush - logged ratings worse than Trump's lowest rating so far at some point during their time in office.
The president told reporters Sunday that he backed the cuts saying, "in some cases, these are countries that we should not be giving to". "You go in to buy a gun, you have to sign up".
She noted that, during the first quarter of the year, 51 percent of the campaign's donors were women - a figure the campaign sees as a sign that women are more engaged.
Trump's approval rating for his handling of the economy remains...not bad...at 46%, but every other issue sees him lagging below 40%.