Serena, 35, failed to defeat Madison Brengle, who won 6-4, 6-7 (3-7), 6-4, reports Efe.
In other second-round matches, third-seeded Caroline Wozniacki beat Varvara Lepchenko 6-3, 6-3, No. 4-seeded Barbora Strycova beat Czech compatriot Lucie Safarova 7-5, 3-6, 7-6 (4) and sixth-seeded Jelena Ostapenko beat had a 6-2, 7-6 (3) win over Mirjana Lucic-Baroni.
Williams, who rested various injuries after her semifinal exit at the U.S. Open, waited an extra day to make her first appearance of 2017 because rain on Monday forced the postponement of her match. My opponent played in the exact same conditions so obviously she was used to it and her game was...
Serena was using the tournament to prepare for the Australian Open and had shown signs of rustiness in her 6-3 6-4 first round win over Pauline Parmentier before repeated unforced errors against Brengle.
"I'm really happy that I could perform so well today", the 29-year-old Safarova said post-game.
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"You can't expect to win hitting that many errors".
She didn't play her best tennis against Parmentier and would like definitely to get better: 'I want to improve.I don't just want to have the same game.
Williams tried not to take anything away from Brengle, however brought conditions during her warm-up into question.
"It was my first match back in several months and I played a great player". She had to battle hard to hold serve, with every victor she hit greeted by a loud shout and a fist pump.
Broady had got off to a good start earlier after beating Danka Kovinic 7-6 6-3 in the first round but went down to the German in straight sets.
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