What daughter of a former Soviet
dictator sought asylum at the U.S.
embassy in New Delhi, India in 1967 ?

Stalin's daughter. I think her name was Svetlana

Yes, Svetlana Alliluyeva (who
preferred using her mother's
maiden name rather than that of
her notorious sire) defected to
the U.S. to seek the freedoms
that Soviet Russia could not offer.

Thanks for the answer DeeGee !