Agnieszka Radwanska, the Open’s No. 4 seed, found herself with all she could handle in the person of Britain’s Naomi Broady Thursday.

Broady, a 26-year-old who has never won a WTA event and has a minimal Grand Slam record, had Radwanska on the ropes in the first set then failed to deliver the knockout. Radwanska came away with a 7-6 (9), 6-3 victory in the second round match on Armstrong Stadium.

Broady served for the first set at 5-3 and was broken. She had three set points in the tiebreaker and didn’t convert. On the third one she lost three straight points to lose the set.

Keys to face friend

Madison Keys, the 8th seed, gets a third-round matchup today with Naomi Osaka, a player she’s practiced with a couple of times but doesn’t know well. What she does know is that she is a big hitter on the rise.

“I’ve practiced with her in Boca a couple of times,” Keys said. “She’s an aggressive player. She’s been playing well. She’s steadily been moving up the rankings. She’s going to be a tough opponent.”

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Osaka has dual American and Japanese citizenship. She was born in the U.S. to a Japanese mother and a Haitian father, and her parents chose to have her play under the auspices of the Japanese tennis federation. She has wins over Sara Errani, Elina Svitolina, and Mirjana Lucic-Baroni and a third-round, three-set loss to Simona Halep at the French this season as she climbed to a ranking of 81.

Two practice sessions in Boca Raton, Florida gave Keys a sense of Osaka’s game, but hasn’t yet led to ongoing friendship. “We didn’t sit down and like braid each other’s hair or anything, but there was definitely some conversation,” Keys said.

Roof means no refunds

One of the key components of the new Arthur Ashe Stadium roof is that there will be no need for refunds in rainy weather. The roof was closed when Simona Halep and Lucie Safarova took the court for the first match Thursday and it remained closed for the remainder of the day session and the night session.

On the outside courts, the rain delayed play until about 12:20 Thursday, then it interrupted it again around 2:15, delaying play for a couple of hours. Some doubles matches were canceled and some other matches were moved around, but because matches had been completed, there would be no cause for refunds. Alternatively, if matches begin by 5 p.m. and there is 90 minutes of play before rain halts the competition, there is no refund.

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Should the remnants of Hurricane Hermine pass through New York on Sunday or Monday, the show will go on in Ashe with the roof closed, but if persistent rain occurs and prevents a completed match or at least 90 minutes of play on the outside courts, then reserved ticket and grounds pass holders would be entitled to a refund.