Thanks for asking the Apple Support Communities about the YouTube app. What happens when you open it from the location you have pictured? You may also be able to find it using the search feature within iOS. From the top of your device, swipe down and type YouTube in the search.
If the app opens then crashes, please try the steps provided in this help article: If an app you installed unexpectedly quits, stops responding, or won’t open .
Thanks and have a great evening.