Sharon Marquette is DC's finest madam. She's also Olivia Pope's latest client. That's why Liv has her team swipe all incriminating material from Sharon's house before U.S. Attorney David can raid the place. The primary item he wants is Sharon's client list which is safely hidden in her family photo albums. Stephen had a previous relationship with this woman, as he was one of her clients. This tidbit doesn't make Abby happy.
Sharon's client list is a who's who of Washington heavyweights, one of whom could cause headaches for the White House. His name is Patrick Keating. He's slated to be President Grant's first Supreme Court nominee. Olivia makes a beeline for the Oval Office, but can't get in. Apparently her pass has been revoked. The Vice President's Chief of Staff, Billy Chambers, vouches for her. He also convinces Olivia to meet with the soon-to-be-scandalized Patrick Keating.
Olivia gives Keating the scoop about the DC madam in front of his wife. He's listed as meeting a call girl named Stacey on several occasions. The judge denies this. His wife agrees that her husband did nothing wrong. Olivia's gut says that Keating is not a hooker guy. Perhaps Sharon's list may not be completely accurate. They need to find this Stacey lady to see if Keating was really one of her johns.
Olivia eventually realizes that the Stacey they are looking for has been right in front of them the whole time. It's Keating's wife, Claire. She met Patrick after being stood up by a client on her first night of work for Sharon Marquette. He had no idea what she did for a living as they began a relationship. The money she made from her work put him through law school. It's how he became a judge. Patrick never knew the truth. He still doesn't.