Dear OP, before answering your question, I would present some scenarios based on the practical and legal aspects of your inter-religious romance. I request you to ponder over them to plan your next course of action.

Note that this answer is being drafted with the assumption that both you and your paramour are theists and believe in God.

Scenario 1.

You may get married to your Muslim lover despite being a Hindu Brahmin. Cannot say about your parents, but your would be parent-in-laws and your lover as well might insist upon a traditional Nikah ceremony, for which you will have to convert to Islam.