I've been posting youtube videos to a church website. Until yesterday, all was well.
Suddenly, yesterday, at the end of each video there appeared a scrolling list of links to "related videos".
Being a church, we have to be careful about what we link to and I've been very careful in choosing appropriate youtube video content. But right away we saw one of these extra unwanted links was to a totally unsuitable website and the only way we could get rid of the link was to delete the video.
I do not understand why all these unwanted extra links appeared. How can I remove them?

If you are embedding YouTube videos into your own website (the churches website) you can simply add &rel=0 to the end of the two video URLs that appear in the embed code. That will eliminate related videos from being displayed when the video ends.