The 20-year-old broke out into erratic moves during her performance, waving around her hair and jumping into the air with abandon.
The freestyle form of dancing led one to speculate that Lorde was less than self-concious about making her SNL debut.
"Lorde takes the whole 'dance like no one's watching' thing VERY seriously," one user wrote in a tweet which was liked more than 300 times.
"Lorde is still crazy. Good to know," remarked another of the performance, which saw Lorde wearing a sparkling silver top and high-waisted tight black pants as she danced wildly. A further person added that her moves were "worrisome".
Not a fan of the witty Twitter critiques, a fan wrote, "Yall are so mean lol let her dance she's rocking out & feeling the music".
Meanwhile, it appears that Lorde isn't the only one performing some unusual dance moves to the new song.
The pop star's close friend Taylor Swift last week took to Instagram to praise the track, writing, "g2g brb just gonna make up an interpretive dance to this magnificent bop for the ages".
Late last week the pop star released her video for the much-anticipated new track that will feature on her forthcoming album, Melodrama.