Coral? Sponge? Wee Beastie? Help?

This picture was taken in Cayman Brac, late November 2019.   Saw a pretty colour; snapped a picture of it.  Now I can't identify it...anyone?

Looks like a tiny anemone, possibly

Thanks troporobo...I'll start googling!

Could it be a fox coral?  I cant find anything else that looks like it...