The "Lunchbox" star, who made her debut on American TV series as ISI agent Tasneem Kureshi, said Danes is well deserved for the honour.
"So so proud of this amazing blazing woman! Incredibly well deserved! #Bravo #ClaireDanes @SHO_Homeland," Nimrat posted on Twitter.
Danes has won three Emmy and four Golden Globe trophies for playing the lead role of CIA agent Carrie Mathison on the popular show.
Nimrat, 33, played Danes' nemesis on the show's fourth season.
She and "Life of Pi" star Suraj Sharma were the new additions to the fourth season of the hit thriller series.