Hello, SerfieSue.
I understand that you are having some difficulty locating the Shuffle button in Apple Music. I’m linking an Apple Support article that lays out exactly where to find it. It even has a great animation that shows where it is.
Repeat and shuffle music
If you are still having an issue finding it, you might next try forcing the app to quit and then next, restarting your iPhone. I would also look to see if you are unable to shuffle any album or playlist on Apple Music or if this issue is related to specific content.
I would also mention that Apple Books might be a preferred method to listening to audiobook when possible.
How to force an app to close on your iPhone, iPad, or iPod touch
Restart your iPhone
Best Regards.