With over 1 billion active YouTube users, it is plain to see why sharing content on YouTube both from your blog and through your own YouTube channel is essential for your online business.
When owners of videos publish videos on YouTube, they are given the option to enable or disable the 'Share' button for their videos.
The 'Share' button, when clicked, provides the HTML code that allows others to insert the video into their sites or blog.
If the owner enables the Share button, it means that they want their video to be shared.
When you do so, you should cite the original author and resource location and give him/her credit with a link.
It is very unlikely that someone would complain about you adding one of their videos on your blog or YouTube channel. If that happens, you can then remove the video from your site.