[8] She subsequently ran as a candidate for Dongjak B in a July 2014 by-election, and beat the Justice Party's Roh Hoe-chan by 929 votes.

[10] In December 2018, Na was elected parliamentary floor leader of the main opposition party.,[3] the first woman in the country to hold this position.

[11] In February 2019, she warned that if the US could not get North Korea to denuclearize, Seoul would probably order more nuclear weaponry to level up to its northern counterpart.

On 13 January 2021, she announced to run for Seoul Mayor in 2021 South Korean by-elections but lost to Oh Se-hoon in primary election.

[16] In September 2019, it was reported by local media that Na's son had allegedly received preferential treatment while in high school after he was listed as the first author in a paper's research summary.