Complex sentence: In 1954, Peters was chosen to host "Come Dancing" (the predecessor of "Strictly Come Dancing"), and was the compere for "Television Dancing Club", which featured the bandleader Victor Silvester.
Split into simpler sentences: In 1954, Peters was chosen to host "Come Dancing" (the predecessor of "Strictly Come Dancing"). She was the compere for "Television Dancing Club", which featured the bandleader Victor Silvester.