Can I hide purchased music from the Music app in iOS 10?
This Apple Support page describes how to hide/unhide purchased music.


  Hide your purchases
  
  You can hide music, movies, TV shows and apps in iTunes on your Mac or PC. You can hide books in iBooks on a Mac or iTunes for Windows on a PC.
  
  To hide purchases on an Apple TV, use the iTunes steps.
  
  You can hide apps in the App Store on an iPhone, iPad, or iPod touch if you use Family Sharing.
  
  In iTunes
  
  
  Open iTunes.
  If you’re not signed in, sign in with your Apple ID.
  From the menu bar at the top of your computer screen or at the top of the iTunes window, choose Account > Purchased. If you use Family Sharing, choose Account > Family Purchases.
  
  
  
  If you’re using Windows and can’t see the menu bar, learn how to turn it on.
  Depending on what you want to hide, click Music, Movies, TV Shows, Apps, or Audiobooks at the top of the window, then click All. All of your purchased items appear. 
  Scroll to find the item that you want to hide. Hold your pointer over the item and look for the x icon  in the upper-left corner. Click the   icon.
  
  
  When prompted to confirm that you want to hide the item, click Hide. The item hides.