Glee Glee Star Cory Monteith Checks Into Rehab (UPDATED) 04/01/2013 mj santilli 14 Well, this is really horrible news. Glee star, Cory Monteith, who plays lovable football player/New Directions coach, Finn Hudson, has checked into rehab. UPDATE: on how Glee production will handle Cory’s absense, plus well wishes from cast members