I cannot find my first client (public sector)

I opened a firm specializing in audit preparation (I am solo for the moment) targeting public authorities, but even getting past the receptionist who filters calls is very difficult. I am often told, "The boss doesn't take calls, send an email. And if you've already done that, too bad."

Being rejected over and over again is demoralizing, and it's so hard to come back with energy and a smile.

I find myself wondering if the market is saturated. I feel like I'm bothering people when I call, even though I've worked on my pitch. In the public sector, contracts are only signed between friends, except that I don't know anyone and I'm 26 years old.

Should I put my energy to something else?

Sometimes its better to change the way than persisting in wrong direction.