Wow, it's hard to imagine why you weren't offered tests for at least herpes and syphilis. From a public health perspective, it's a little easier to see why you weren't offered an HIV test. Historically, the incidence of female-to-female HIV transmission is extremely low, some experts say low enough to be considered "clinically insignificant." The virus doesn't seem to "like" propagating that way.
But herpes and syphilis are quite a different story. As a matter of fact, syphilis incidence is spiking in North America right now, which I was just reading about yesterday. I don't know if that's happening where you live, but as far as what I've ever known, tests for syphilis are an important part of any STI screening. And of course, herpes is all but endemic. Both viruses spread far more easily than HIV.
It should not be so difficult to be screened for common STIs.