hello aspirant,

YES, you can pursue Phd if you have a Master's Degree from Annamalai University. the eligibility criteria for Phd is as follows :

The minimum requirement for entry to an Indian PhD is a Masters degree in a relevant subject, usually with an overall grade of at least 55% (or the equivalent) . Candidates will also be expected to have the necessary language skills for their course.

Further, to know more about the Phd courses you can follow below mentioned link to know more : https://www.careers360.com/courses/ph-d-doctor-of-philosophy

Further, if you wish to know top universities in India for Phd then you can follow the below mentioned link to know more about it :

https://university.careers360.com/colleges/list-of-phd-universities-in-india

I hope that this will help.