Bullzaye
US Veteran
From his obit, linked above: "His relationship with Miss Kitty developed to the point that they shared a kiss during one episode in 1973. They never married, though, and the social order of Dodge City remained intact."
Man, considering that the TV show started in 1955 and ran until 1975, I bet ol' Matt was one frustrated son of a gun beneath that stoic exterior!
According to the Gunsmoke movies that came after the show, Dillon had a daughter from one encounter with "Mike" Yardner (Michael Learned of The Waltons), so...he did have that.
Also, there were occasional images of Matt coming down the stairs of the Long Branch, sometimes with Miss Kitty, and sometimes alone, I believe. So, even though they may not have married, they might still have been friends with benefits, or just "business" acquaintances.
Tim