While the actress previously said she was "not allowed to talk about why" she left the series, reports had suggested that the decision was down to the "frequency and nature of certain nude scenes", as well as a hostile work environment.
Wilson responded by explaining: "The reason I haven't gone into The Affair is that I haven't worked out how to discuss it. There's a lot of noise and anger surrounding it, and really the power rests with me to choose how I discuss my life and my experiences.
"What's important to say is that I did speak up. I did have a voice. I did stand up for myself. There was a situation on The Affair where things didn't feel right, and I dealt with them, and I managed to protect myself."
In a previous statement, a representative from Showtime addressed the claims of a toxic work environment - which parent company CBS opened an internal investigation over.