Few more things.

As a single woman, India is a relatively safe place and heaven if you look around in the region.
Your best protection are indian women.
Your best asset is that you are a woman. You will be able to share and photograph indian women like no man can do.
Very interesting angle.

Amritsar is a very tuff place. Think twice.
Holi in Varanasi would be amazing.
Better travel trains than planes.

Best way to shoot safe is to have camera under jacket. No need for photo bag which is a thief magnet.
I had 2 rolleiflex under jacket all the time. Never had issue.

G.