Previously I tried to Completely Uninstall in Synaptic but since I had already standard-uninstalled it, the Complete Uninstall option was a deadlink and Synaptic would not allow me to follow through with a Complete Uninstall. I found I had to reinstall Blueman and then this time, being sure to Completely remove it in Synaptic, I was able to clear the list of known apps in Notification Area > Properties. A reboot may have helped.
Hopefully it doesn't come back and hopefully no residual traces of it are left on my Notification tray or anywhere else on my system. Programmers should be more mindful.
This is why I like Windows, uninstall binaries are thorough versus non-existent in Linux for many apps. In this case Synaptic could reverse, but many apps aren't catalogued in Synaptic making it impossible to cleanly reverse messy installs.