It sounds like you're having an issue sharing a newly created playlist on your iPhone, and I'm happy to provide some help for this issue.
When you created this playlist, did you do so directly on your iPhone, or did you create it in iTunes first and sync it to your iPhone?
If you made this playlist on iTunes, check that it's not a Smart Playlist. A Smart Playlist has the Smart Playlist icon
next to it, and would have that same gear icon as the playlist photo on your iPhone. You can learn more about Smart Playlists in the article below:
iTunes for Mac: Create a Smart Playlist
Smart Playlists cannot be shared. Once you've created one that is not a Smart Playlist, share it using the steps below:
Create and share playlists - Apple Support
Thanks for using the Apple Support Communities. Cheers!
You can make your playlists public and send them to friends.
When you create a playlist, make sure to turn on "Show on My Profile and in Search" to make your playlist public. When you make a playlist public, people can find it using Search.
You can send your playlists to friends through Messages, Mail, Twitter, Facebook, using AirDrop, and more. To share a playlist, find the playlist that you want to share, then follow these steps:
- On your iPhone, iPad, or iPod touch: Tap , then Share Playlist .
- On your Mac or PC: Click , then Share Playlist.
- On your Android phone, tap the Share icon to see your sharing options.
When you choose how you want to share your playlist, a new window opens in the app that you chose and a link to your playlist appears. In some apps, you can add a message before sending your playlist.