PETA executive vice president Tracy Reiman said: "By going vegan, Anne is doing the best thing that she can to better her health and save calves like Peter from a life of suffering. Anne is living proof that vegans are beautiful from the inside out."
Around 100 guests attended the nuptials, which began on Friday night with a rehearsal dinner at the Ventana Inn and Spa ahead of the wedding at a nearby private estate.
Anne wore a gown designed by Valentino, and the decor at the celebration was inspired by nature.
Speaking previously, Anne said she was looking forward to being single until she met Adam and "fell in love like a fool".
She said: "I am very much in love with him, only Adam totally ruined my plan. I was really actually looking forward to a little alone time, and then I fell in love like a fool!"