After Fruhvirtova withdrew, Boulter, who has had a great start to 2024, won the second-round match 7-6 (7-5) 1-0.
The Czech player took the lead early on, but the heat in Florida got to her, and she had to see a doctor twice.
“To win like that, I’ll take it but I want her to get better,” Boulter stated.
She also said this to news Sports. “I watch her coaches telling her to bail out halfway through the match, but she doesn’t.
“She can struggle to put the ball in the court one minute, and then she can run ten shots side to side the next.
In the men’s singles, after a challenging start to the season, Italian Lorenzo Sonego was defeated by British number three Dan Evans in a thrilling match.
Evans, 33, defeated world number 53 1-6 6-3 6-4 by displaying his tenacity and willpower.
Evans, ranked 43rd, won just three of his nine matches this year, securing a rematch with American 31st seed Christopher Eubanks in the second round.
“I’m really happy – it has been a tragic year so far,” Evans stated.
The second-round matches of fellow Britons Andy Murray, Cameron Norrie, and Jack Draper are all planned on Friday; however, a busy schedule is expected to be delayed by the Florida rain forecast.