PhD Program with a bad GPA
I am not in your field, though I have been a faculty member in several PhD programs in the social and health sciences. So, I'm not sure how much of this would be relatable. However, PhD programs typically have a minimal GPA requirement. You do not mention what your GPA is exactly, but typically programs don't require an A (4.0) average. If the application requires a cover letter or personal statement, you can explain challenges you have had in the past, though you should make sure that you describe how these challenges would not impede on your future success. Also, you mention a good TOEFL score, though I would suggest working on your writing in English or have a native English speaker proofread your materials, if you are applying to US programs.