As per the internet, there are no such dual degree programs in Psychology and English literature in Tamil Nadu and also there are no information available about such colleges in India too. Here I am providing some of the colleges which offers admission in Psychology

PSG College of Arts and Science, Coimbatore

Presidency College, Chennai

Government Arts College, Coimbatore

Stella Maris College, Chennai

Sri Krishna Arts and Science College, Coimbatore

Women's Christian College, Chennai

For more colleges offering Psychology UG course in Tamil Nadu visit the link below:

https://university.careers360.com/colleges/list-of-psychology-degree-colleges-in-india?state=Tamil%20Nadu&degree=B.Sc.

Top English literature colleges in Tamil Nadu are provided below:

Loyola College, Chennai

Presidency College, Chennai

PSGR Krishnammal College for Women, Coimbatore

Government Arts College, Coimbatore

Stella Maris College, Chennai

For more colleges you may visit the link below:

https://university.careers360.com/colleges/list-of-ba-in-english-degree-colleges-in-tamil-nadu

I hope this answer helps. All the very best for your future endeavors!