Uecker played the character of Dr. Carsten Flöter on the popular German TV series Lindenstraße on ARD. In 1987 he kissed Gert Weinbauer (played by actor Günter Barton). This was the first gay kiss in a German series in the evening. A second kiss in 1990 with character Robert Engel (actor Martin Armknecht) brought about discussions on LGBT topics in the media. Uecker continues to play the character.
Uecker's other acting credits include Schillerstraße and he is often a guest on Genial daneben. He is an LGBT-activist and lives in Cologne.