“I know that President-elect Trump has a personal relationship with the Lord Jesus Christ,” she added. “We’ve had in-depth conversations about God.”

Ms. White, the pastor of a church near Orlando, Fla., has been associated with “prosperity gospel,” which holds that if believers give generously, God will reward them with earthly and heavenly riches. She said her teachings are too varied to be narrowed to such a theology.

Her former ministry, the Without Walls International Church, was one of six investigated in the past decade by the Senate Finance Committee over possible financial improprieties. At the time, Ms. White and her husband, Randy, from whom she is now divorced, refused to cooperate with the inquiry, and kept their lavish spending hidden behind tax laws that allowed religious organizations to operate tax-free with little transparency.

Ms. White said that Mr. Trump was not drawn to her for any attention she has given to success and wealth. “Winning to him also equates to good, and good equates to God,” she said.

Over the past decade, Ms. White said, Mr. Trump has called on her to pray over him before, in her words, “most major events” in his life: ahead of a season finale of “The Apprentice,” and in the minutes before his speech at the Republican National Convention last year. (Ms. White also spoke at the event.) She also said she had sometimes been invited to simply sit with the president-elect in his Trump Tower office for a day.