Both American movie industry bibles Variety and the Hollywood Reporter have picked Glory as the frontrunner too.
The New Zealand pop star is also up against Lana Del Rey for the theme song to Tim Burton's Big Eyes, Patti Smith for Mercy Is from Noah and Australian star Sia's Opportunity from the the musical Annie.
The track is also eligible for Oscar consideration and the Academy Awards are being announced on Friday.
The website goldderby.com is giving Lorde a 33/1 chance of winning an Oscar, though again, Glory is the favourite.
Meanwhile, New Zealand writer Anthony McCarten will be waiting to see if the movie he helped initiate, The Theory of Everything, wins a Golden Globe for best picture (drama).
McCarten wrote the film's screenplay about the relationship between esteemed astrophysicist Stephen Hawking and his first wife, Jane. McCarten took years to persuade Jane Hawking he could adapt her book about her life with the scientist into a screenplay and then get it produced.
"But even though it's been a long, 10-year journey getting this film made, I never lost my faith in this story, its power or its importance."
As one of the producers of The Theory of Everything, McCarten's name figures on the film's best picture Globe nomination.
His script isn't one of the five screenplay nominations for a Globe, which combine original and adapted screenplays.
But he is being given 5/1 odds of an Oscar in theAcademy Awards' adapted screenplay category by goldderby.com, with his chief competition coming from The Imitation Game and Gone Girl before the nominations are announced.
Three reasons why Lorde should win the Golden Globe for best original song
1. Sound wise, it's the most original track and the catchiest too and it does a nice job of capturing the defiant spirit of Hunger Games lead Katniss Everdeen in the same way the best Bond themes do.
2. Lorde not only wrote the song, she curated the soundtrack for the third Hunger Games movie. So extra marks for extra effort.
3. Among her fellow nominee pop peers, Lana Del Rey's Big Eyes from the Tim Burton movie of the same name sounds like a warped Abba B-side and Sia's Opportunity is from Annie, the most unmusical musical in an age.
Three reasons why she probably won't
1. John Legend and Common's nominated song Glory from the Martin Luther King drama Selma is a triumphant epic gospel-rap hymn to the civil rights struggle tying the MLK era to American's current troubled racial climate in its lyrics which must run as long as a screenplay. Legend has been outspoken about the events in Ferguson and other police killings of black people. He's on the Oscar campaign trail in the US right now with the song. Glory would be also be a nice match to last year's winner, U2's Ordinary Love from Mandela: Long Walk to Freedom.
2. The Golden Globe voters - the members of the Hollywood Foreign Press - have baby boomer musical tastes, judging by the past decade or so where winners have included Madonna, Cher, Bruce Springsteen, Prince and Mick Jagger. So Patti Smith's Mercy Is for Noah could be in with a chance.
3. None of the previous Hunger Games movie song nominees - which have included Coldplay and Taylor Swift - have won the category before.
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