I am out everywhere, except at work.

Being in the medical field, I work among physicians, mostly male and mostly homophobic. If I were out to them, Iâ??m sure Iâ??d get fired or at least, not offered advancement. I feel confined to be less than honest at work, yet I donâ??t want to jeopardize my job security. Does this mean Iâ??m ashamed of being gay?