Senate Majority Leader Mitch McConnell and 2016 Democratic presidential nominee front-runner got into a tiff Monday about who's playing the "gender card."

McConnell started the back and forth by saying the "gender card alone" will not be enough to carry Clinton to victory in the race for the White House.

"I don't think arguing 'vote for me because I'm a woman' is enough," the Kentucky Republican said at an event in his home state on Monday, according to the Associated Press.

"You may recall my election last year," he said, referring to his 2014 double-digit victory over Democratic challenger Alison Lundergan Grimes, who claimed McConnell had a history of not doing enough on gender issues. "The gender card alone is not enough," he said.

McConnell did call Clinton, who he predicted would win the Democratic nomination, smart and capable, but also said there is "not a dime's worth of difference" between her and President Obama in terms of policy and that "she's going to run straight left, just like the president did."

Clinton then fired back against McConnell's comments during a Facebook question-and-answer session, saying he "really doesn't get it."

"There is a gender card being played in this campaign," she said on Facebook Monday afternoon. "It's played every time Republicans vote against giving women equal pay, deny families access to affordable child care or family leave, refuse to let women make decisions about their health or have access to free contraception. These aren't just women's issues, they are economic issues that drive growth and affect all Americans."

Clinton also tweeted using the hashtag "#gendercard" Monday night, a sign that the gender issue may become one of the next major talking points of the 2016 campaign.

Clinton is the sole female running for the Democratic ticket, while former Hewlett Packard CEO Carly Fiorina is the only woman running on the Republican side.