I guess according to us embassy website, it is legally binding. Does this mean we created more headaches? ☹️
Religious Ceremonies
In India, a religious marriage ceremony is generally considered a legal marriage. However, for marriages registered under the Hindu Marriage Act (affecting Hindus, Jains, Sikhs and Buddhists), the certificate issued by the temple or gurudwara may not be legally sufficient for all purposes. Individuals married under the Hindu Marriage Act may seek a formal marriage certificate from the Registrar of Marriages. If one of the parties is not Indian, the registrar may request a “no objection letter” (see above) and proof of termination of any prior marriages.
If the parties are married in a Christian, Muslim, Parsi, Jewish, Baha’i or other religious ceremony, the certificate issued by the religious authority (e.g., the church’s marriage certificate, the mosque’s nikah nama, etc.) generally is sufficient proof of marriage, and no certificate from the marriage registrar is necessary.
https://in.usembassy.gov/u-s-citizen-services/marriage/#:~:text=Religious Ceremonies,the marriage registrar is necessary.