This is the first time that rugby has been introduced at the Olympic summer games, with the short format of the sport included in the events schedule in Brazil.
The LPGA also released a statement regarding players competing in Rio, stating it will support and respect whatever choice any of its players make regarding Zika and the Olympics.
Golf's return to Olympics for the first time since 1904 has been hit by pullouts by several top male golfers, including world number one Jason Day, multiple major champion Rory McIlroy, Fiji's Vijay Singh and Charl Schwartzel of South Africa. "We dream of winning Claret Jugs and we dream of winning green jackets (at Augusta National)". "Whether that makes golf look insular in any way...it's just the way it is".
With Olympic withdrawals threatening to overshadow this week's WGC-Bridgestone Invitational, a "productive" meeting was held Wednesday between USA Golf officials and the four American players expected to qualify for Rio.
The SA No 1 and world No 38 said it had been a "difficult" decision, but she did not want to put her health and the health of her "future family" at risk.
"I really loved going out there and competing...standing out there and being an Olympic athlete", Williams told reporters.
"With Rory and myself pulling, I don't know if that will trigger anyone else", Day said.
"Just as, for example, I was speaking to Padraig Harrington about it last night, he's not planning on having any more children, so there's no risk of him putting [his wife] Caroline at risk or his future children at risk".
Although the circumstances surrounding the person's death are unknown, it is another embarrassing blow to the host country - already reeling from financial problems, a mishap-prone Olympic torch and an outbreak of the mosquito-borne Zika virus.
Ireland's Shane Lowry, the world number 25, also withdrew on Tuesday, saying his decision was based on firm medical advice.
"I am optimistic about the games, but I have to show the reality".
World No. 2 Jordan Spieth said on Tuesday he was "uncertain" about playing in Rio, adding: "I've heard some stories on both sides about the security threats that Brazil and Rio have". Jason Day has a young family.
The 27-year-old Northern Irishman said this month that he and fiancee Erica Stoll may consider starting a family within a couple of years.