Deep Links to the rescue! YouTube’s Deep Links allows you to start a video precisely at the section you need.
To create a Deep Links:
Locate the video you wish to share
In the video information section (the grey box to the right of the video), copy the text located in the ‘URL’ box.
Click the ‘Share’ tab (located below the video).
Paste in the text you copied from the URL box into the message. This text is the video’s URL.