The former goaltender says she is still trying to get a handle on social media these days, so it likely would have been overwhelming for the Lac-Beauport, Quebec native, who was just 20 years old at the time.
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Although the media coverage leading up to the contest certainly underscored its historical significance, it seemed like just another hockey game for Rhéaume.
"At the time I didn't realize that it was a big deal," she said. "I knew the media were making a big deal, but when you're young, you're just playing hockey because you love the game."
For Rhéaume, her NHL appearance was just another example of her drive to play the sport at the highest level, something she had strived for her entire life.
Growing up, playing hockey with her brothers and the boys in the area, Rhéaume learned pretty quickly that, despite her abilities, she was often cut from teams simply because she was a girl.
Although it was frustrating for the youngster, she was undeterred. Rhéaume continued to work hard and hone her skills to prove she could compete with the boys.
Instagram from @manonrheaume33: Throwback Thursday! Yes that haircut was in back then.....#girls #80s #80shair #goalies #goaliesaves #hockey🏒
It didn't take long for her to make a name for herself. In 1984, she became the first girl to play in the famed Quebec International Pee-Wee Hockey Tournament. Seven years later, she made history again, becoming the first woman to play in the Quebec Major Junior Hockey League, suiting up for the Trois-Rivières Draveurs.
When the Lightning came calling the following year, it was an opportunity Rhéaume could not pass up.
"So many times when I was younger, I was good enough to make the top level. I was good enough to be on the team, but they didn't want me because I was a girl," she said. "When that opportunity came about I thought to myself, maybe if I would have got all those chances before, I would've played four years of major junior, but I didn't have all those chances before."
While some had suggested that Tampa Bay GM Phil Esposito was just orchestrating a publicity stunt for the new expansion team, his motivations were of little consequence to Rhéaume. After being denied opportunities in men's hockey year after year, simply because she was a girl, she was not going to turn down the chance to play at the highest level.
"At the end of the day, I knew it didn't matter why I was invited," she said. "I didn't want to live my life with regret. I didn't want to look back ten years later and ask myself what would have happened if I had gone there."