Use APKPure App
Get Delete Current Playlist Song - old version APK for Android
This app deletes the current playing song in a Spotify playlist.
There is no easy way to delete the current playing song in a playlist on Spotify.
You simply share the song with this app and it deletes it from the playlist for you.
Or, you could open the app while playing the song.
The system will detect the current playing song and playlist and help you to delete it easily.