The incident happened about 6 a.m. while listeners tuned in to the live religious programming.
Orange County, FL deputies are interviewing suspect Donald Destin, 30. The sheriff's fugitive unit arrested him about 4:30 p.m.
The host told investigators she was on the air when the suspect entered the station without permission. She said the man exposed himself, performed a sex act and threatened to rape her.
A listener heard the threat and called 911.
The host remained calm and lured the man outside the building, the Sheriff's Office said. Then she got him to go back inside while she locked herself inside her car and waited for deputies.
Brighthouse Cable 13 news reports the encounter happened at La Voix Evangelique D'Orlando, on the SCA channel of WMMO (98.9) on Pine Hills Road and Alhambra Drive. The station broadcasts to Haiti from a church. It requires a special transmitter to pick up the signal. The encounter inside the station was caught on surveillance video.