The 22-year-old was again on the scene of her beautiful breakthrough Grand Slam title final 12 months, the place she beat Garbine Muguruza in three units.
Nevertheless it was a brief keep on Margaret Courtroom Area with the 76th-ranked Giorgi retiring due to a thigh damage after Kenin clinched a decent first set 7-5.
“I hope she’s all proper … however I am glad to get via,” Kenin stated.
“I used to be lacking so many forehands however I lastly made them to shut out the primary set.”
The American was upset within the quarter-finals within the season-opening occasion in Abu Dhabi final month by Greece’s Maria Sakkari, ranked 22.
Kenin reeled off three straight video games to begin the match earlier than going off the boil as Giorgi went 4-3 forward.
Kenin regrouped earlier than Giorgi referred to as for medical consideration on the finish of the set and retired.
The Moscow-born Kenin emerged as a critical drive in final 12 months’s truncated circuit, additionally reaching the French Open ultimate and rising to a career-high fourth on the planet rankings.
She performs Germany’s Mona Barthel or Jessica Pegula of the USA subsequent.
World primary Ashleigh Barty and 2019 Australian Open champion Naomi Osaka are in motion later Tuesday.