App no longer on the app store...

I have an issue with an app. I was forced to update my ios and now I can't open my favorite music app because it's no longer on the app store. I don't need it anymore, it's okay, I'll find another app. But I had A BUNCH of songs on that app and I just want to open it for a couple minutes to just screenshot all my songs I had in there, and I can delete it then. Is there any way to open that app to just see my data? Thank you for your answers.