"The IOC needs to stand up better for their athletes quite frankly," Navratilova told reporters here yesterday.
"It's (also) what happens after, and it's not just one country, it's many countries."
The two sporting icons added their voices to the UN's campaign to counter homophobic violence and discrimination.
"Nobody is talking about, for example, Qatar, where the World Cup is going to be, homosexual activity is punishable by a jail term there," the openly gay former tennis star said, referring to the 2022 FIFA World Cup of soccer.
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"Once the games leave, all those people are still going to be there oppressed," Collins said.
"That's something that isn't right. People should be able to live their lives openly, and not be afraid that if they say or do the wrong thing, just by holding someone's hand in public that they can go to jail."
Navratilova said gays and lesbians "seem to be the last group of people that it's still ok to pick on for whatever reason in whatever way", adding that the abuse ranges from being bullied in school to being denied basic rights, incarcerated or sentenced for acts punishable by death in certain countries.
"Get in their face. Once you're visible, you make it personal.