Q: Safari can't verify identity

MacBook Pro, OS 10.9.5,  2.66 ghz core 2, 8 gb

Running Safari 9.1.3 and I get an error as follows:

I found a procedure of 2 steps results as follows:

   Step 1 logon as a "Guest" and went to the web site with Safari and got the same error indicated above.

   Step 2 Restart the computer in "Safe Mode" with same error.

Running "Chome" browser, a visit to the site did not yield error.