Osmania University College for Women

Yes, you are eligible.
This may sound odd, but I myself didn't consider the prospects of benefits of the study. It was my goal to become a psychologist professionally in a variety of fields within the spectrum of psychology.
My ideal of psychology had and is always the same, it is a scientific understanding and the knowledge that comes with it of the behavior of the human condition. Although a great deal is associated with and under the umbrella of Mental Health, it is a grievous error to think that all psychology is about that. It is not.
If one approached psychology with the sole concept of just being analytical then they are missing the entire scope of psychology. One does not spend a handful of years, get a degree in psychology and deem themselves a reliable psychologist. No, it takes years, multiple degrees, and not just psychology, one needs philosophy, social anthropology, and having masters in human biology and neurology helps tremendously. They are not doctorate degrees, but you learn the same practical information without the mess and fuss. You can still hold doctorate degrees in various psychology fields, philosophy, and social anthropology.
It is not the purpose of a psychologist to cut people up or drug them. All we do is seek the truth and guide people who are troubled in more positive options and directions, but it is paramount that it is clear that they are left knowing it is still their choice and their right to free will. We do not have the right to take that from anyone.
Best of luck.