MONTCLAIR, N.J. — When Gretchen Carlson was asked how her last week had been, she looked down at her wrist.

“These are the bracelets I wear on my arm,” Ms. Carlson, the former Fox News anchor, said in an interview on Tuesday.

She stood up from her seat at the dining room table here in the home of her lawyer, Nancy Erika Smith, and pointed to three silver bracelets, each emblazoned with text.

“Carpe diem,” she said, reading the words. “Brave. Fearless.”

Speaking publicly for the first time since she filed a sexual harassment lawsuit against her former boss, Roger Ailes, the Fox News chairman, Ms. Carlson repeated the allegations she made in the suit, saying Mr. Ailes made sexual advances toward her and later fired her because she complained about sexual harassment at the network.