The husband of “Fox and Friends” co-host Ainsley Earhardt filed for divorce on Wednesday — just a day after she announced the couple’s separation amid claims that he had an affair, The Post has learned. William Proctor brought the contested proceeding to Manhattan Supreme Court, meaning he expects a fight over money or custody of their 2-year-old daughter. “I am devastated about this situation and did not envision this for the future of our family,” he told The Post. Earhardt, 42, and Proctor, 34, married six years ago.