Galen DeMarco was a sector chief who had feelings for Dredd and kissed him, unsually for Dredd he didnt get her fired but gave her a second chance she diidnt resolve the feelings and left the force and became a PI, she still pops up from time to time.
Dredd being who he is, can't have any kind of relationship with a woman, even if the rules allowed it. He can't let anyone else into his life , he simply doesn't know how to do so. What makes him a great lawman in Megacity One also make him a very tragic figure in what he's had sacrifice in the process. He walks alone and will do so right to the end.