Nothing will happen to her. She'll finish her term and get re-elected. It will be chalked up to an estranged husband trying to get leverage in the divorce by leaking compromising photos to the Daily Mail and will blow over. Ethics committee will find that she terminated the relationship with the staffer around the time she took office so they don't really have jurisdiction over what did or did not happen before. Nobody wants to take on the LGBTQ mafia.
"Indeed I tremble for my country when I reflect that God is just: that his justice cannot sleep for ever ...."
Thomas Jefferson