Based on mainly 2nd hand knowledge, India is full of thieves. People will try to steal from or swindle you, watch out but they probably won’t rob or attack people. Indians tend to like Whites but not others, so if they’re Asian or especially Black they may get some dirty looks or get hassled but money overrides everything else so businesses and stuff will still sell to you. Western style restaurants should have safe food, but you can’t trust food safety or places that look like they’re meant only for locals. Bring lots of bug repellant. Don’t dress in expensive clothes or stuff with visible brand names.
Oh, also, you should do this even in the US but especially in India, know the prices of what you’re buying and calculate the total (or approximate) yourself and count your change. The cashier will have high likelihood of trying to rip tourists off.
I’ll say I’ve never heard of problems of personal safety from people who travel to India frequently (though there’s obviously news stories about it), but I’ve heard tons of stories about people getting ripped off or stolen from.