The acts' first shared collaboration is from Swift's new album, Lover, which opens atop the all-genre Billboard 200 with 867,000 equivalent album units (679,000 in album sales), according to Nielsen Music.
The stripped-down ballad, which Swift wrote with Jack Antonoff for her mother, who is fighting breast cancer, begins with 10.3 million U.S. streams and 9,000 downloads sold.
"Better" marks Swift's 21st Hot Country Songs top 10 and her first since her featured turn on Sugarland's "Babe," which reached No. 8 in May 2018. "Better" is her first top 10 in a lead role since the No. 2-peaking "Red" in December 2013.
Dixie Chicks earn their 15th Hot Country Songs top 10 and first since their cover of Fleetwood Mac's "Landslide," which reached No. 2 in November 2002. They make their first appearance on the chart since 2006, when "Everybody Knows" peaked at No. 45.
"Better" also bows at No. 63 on the all-genre Billboard Hot 100, where Swift charts all 18 songs from Lover. Dixie Chicks make their first Hot 100 visit since March 24, 2007, when they spent their last week on the list with the No. 4-peaking "Not Ready to Make Nice," their Grammy-Award winning song (for record of the year, song of the year and best country performance by a duo or group with vocal) that alludes to their sudden shunning by the bulk of country radio after lead singer Natalie Maines made critical comments about President George W. Bush in 2003.