||Very typical. for a non-religious Jew. You are in a tough spot. Your boss is probably so afraid of his guilty conscience, that he will not allow you to wear kipa. A Gentile would usually allow it. I had a friend who worked for Merril Lynch. He was once asked by his boss (a priest) where are the yarmulkas?
Does your boss have a no hat policy? If not, you can possibly sue him, for not allowing to wear your Kipa at work. Call the Agudath Israel Legal Division office, for more direction at 212-797-9000.
Meanwhile you should cover your head with your shirt sleeve or something else when you make the bracha, just not your own skin.