Update. Problem solved after reinstalling Java update from the Java website.
I no longer have the desktop icon, but can launch from the web

This fortunately only happened on 1 of 6 computers in the office, but unfortunately it is my desktop. The desktop icon doesn't launch on any of the plated machines, but that can be worked around for now.

So my feedback to prospective Updox users: 98% of the time it works great. I'm convinced that it has allowed our office to work with one less employee then in any other office in which I have worked. In 2 and ahalf years we have probably saved a small forest equivalent of trees in terms of decreased paper use. The communication portal with patients has become a very popular feature in my practice.

My lesson for today is the humility that comes with being my own IT person.