The IMA has written to the Medical Council of India (MCI) to find out if the person is a qualified doctor or quack.
The move comes after the IMA received a complaint.
Dr K K Aggarwal, the IMA national president, said he had also asked the association's Maharashtra unit to immediately form a three-member committee and visit the dialysis centre run by the doctor to find out her credentials.
Aggarwal has said that laws do not allow discrimination on the grounds of religion to anybody and had made it a punishable offence.
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"We want the MCI to conduct an inquiry and take action in this matter," he said.
Code of Medical Ethics Regulations say a registered medical practitioner shall not "refuse (a patient) on religious grounds alone to give assistance in or conduct of sterility, birth control, circumcision and medical termination of pregnancy when there is medical indication, unless the medical practitioner feels himself/herself incompetent to do so."