I am amused !!!!
Anyhow being an Indian will try to give few tips :
1. Religion is a huge factor. Hindus prefer getting married to Hindus, but you can find Indian Chrisitans too ...
2. Majority of Indian marriages are "arranged" - meaning the parents decide or atleast their acceptance is needed for the marriage.
3. Even in the shaadi.com or in the other matrimonial sites initial screening is done by the parents. (So its natural that you get filtered !)
4. And the biggest thing is - India is several countries within - which part of Indian women you like most ? - the major regions are North, South, East and West - and each one culturally varies (language, custom, everything)
And there are lot more ......................
So unless somebody falls in love with you it is difficult to fulfill your wish .
Pondicherry a small state in India (within Tamilnadu, the southernmost state of India) has a french connection - Its a former french colony and lot of french people live there. And visa procedures are also simple I guess. Try visiting Pondy and test your luck (Pondy is 150 km from Chennai, the capital of Tamilnadu and the fourth largest city of India).