Are we talking about shyness INSIDE the casino or are we talking about shyness while betting? I have seen both cases in the answers. I mean shyness while gambling for real in a real casino is quite possible because there are people who would like to bet and gamble but introverts, but if you put those people in front of a pc and let them gamble you can solve the problem.

If we are talking about shyness while for example raising the stakes or something while playing online, than I don't know what to tell you. That might be characteristic and maybe you are not destined to gamble.