hey,

neet score is not mandatory to get admission in psychology. it will be no problem that you have taken science stream in 10+2, even it is good because A science stream students can apply in others streams also. I have mentioned some college name below which offers 3 years b.sc course in psychology,  base on your 10+2 score, admission is offers.

Sri Krishna Arts and Science College, [SKASC] Coimbatore

Stella Maris College, Chennai

Ethiraj College for Women, Chennai

Barrackpore Rastraguru Surendranath College, [BRSC] North 24 Parganas

Sree Saraswathi Thyagaraja College, [SSTC] Coimbatore

Amal College of Advanced Studies, [ACAS] Malappuram

Madurai Kamaraj University, [MKU] Madurai

NIMS University, [NIMSU] Jaipur

DAV PG College, Dehradun