Rooney was selected for the 4x400m relay and appealed to UK Athletics for inclusion in the individual event at the World Championships, which take place in Beijing, China from August 22 to 30.
“I’m happy that my appeal was successful,” Rooney said in a statement from British Athletics.
“Now I can focus on preparing for the world championships and representing Great Britain to the best of my ability.”
European champion Rooney makes a team which is headlined by Jessica Ennis-Hill and Mo Farah.
Ennis-Hill will compete in her first major championship since London 2012 after opting to take up her place in the heptathlon.
Farah will defend his 5,000m and 10,000m titles after a difficult season which has seen his coach Alberto Salazar engulfed by doping allegations.
Adam Gemili, who has not raced since suffering a hamstring injury in early June, has been named in the 4x100m team, with Richard Kilty taking the third individual place.
Dina Asher-Smith, who became the first British woman to run the 100m in under 11 seconds when she clocked 10.99secs last month, will race over 200m in Beijing.
Defending champion Christine Ohuruogu will compete in the 400m, while Olympic champion Greg Rutherford will bid for the complete set of major titles in the long jump.
Overseas-born rising stars Zharnel Hughes and Cindy Ofili, who were only cleared to compete for Great Britain this summer, go in the 200m and the 100m hurdles.
Andy Vernon, the European 10,000m silver medallist who has had a long-running public feud with Farah, was left out of the team and unsuccessful in his appeal.
Steeplechaser Lennie Waite also failed in her appeal, branding the selection process “unfair.”