The 26-year-old's three scoreless IPL innings follow another first-ball duck for Perth Scorchers in a Big Bash League loss to Adelaide Strikers and a five-ball nought for Australia against India during their two-match T20 series in February.
Turner, who was left out of Australia's squad for the World Cup beginning in England and Wales on May 30, has fared better in the 50-over format scoring an unbeaten 43-ball 84 against India in a one-day international match last month.
Delhi, with 14 points from 11 games, leapfrogged Chennai Super Kings to top the standings on net run rate while Rajasthan remained in seventh place in the eight-team league.
Hyderabad will host the final of this year's IPL on May 12, the organisers announced on Monday.
Top two finishers will clash in Qualifier 1 in Chennai on May 7 with the winners reaching the title clash.
Visakhapatnam will host the eliminator, between the third and fourth-placed teams, on May 8.
Qualifier 2, between the winner of the eliminator and loser of Qualifier 1, will decide the second finalist at the same venue two days later.
(Reporting by Shrivathsa Sridhar in Bengaluru; editing by Amlan Chakraborty)
