how well was her first song mentioned above received?
It received mostly positive reviews from music critics.
Yellow Flicker Beat
"Yellow Flicker Beat" received mostly positive reviews from music critics. 
what is the song everybody wants to rule the world about It is a new wave and synth-pop song. who wrote the lyrics for this song? Roland Orzabal, Ian Stanley, and Chris Hughes. is this part of an album? Yes, "Songs from the Big Chair". does any other singer have their own version of this song? Yes, Lorde. when did she release her version? 2013 what other hit songs has she sang? "Yellow Flicker Beat" and "Melodrama". what kind of image does she have among the public? She described her public image as something that "naturally" came to her and was identical to her real life personality. Lorde identifies as a feminist.
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Yellow Flicker Beat [SEP] Critical reception
"Yellow Flicker Beat" received mostly positive reviews from music critics. Writing for "Spin", Carley praised the song's metaphorical and mature lyrics. "Rolling Stone" writer Ryan Reed praised the track's production, writing that it "fits comfortably within the 17-year-old's sonic wheelhouse", while "Billboard" editor Steven J. Horowitz opined that Lorde's vocals complemented the song's "synth-blotched beat" well, and rated it three and a half out of five stars. Conversely, Chris Schulz of "The New Zealand Herald" wrote that "Yellow Flicker Beat" sounded too similar to Lorde's previous releases and lamented the lack of a catchy hook and chorus. Echoing Schulz's statements, Lydia Jenkin, also from the "Herald", noted that while its sound was reminiscent of the singer's early works, it was still "a perfect musical depiction of Katniss Everdeen".