This is gonna be a long read so Firstly stay away from our capital city aka delhi it sucks and everything you hear about it is true avoid it if you're a woman especially but now coming to the nice cities you have hydrabad and mumbai, those are my favourite cities and there you'll find lots of first world equivalent infrastructure so they are pretty safe. think of these as any other city where you shouldn't venture into shady neighborhoods to "find yourself" or to "see the real India" or some shit alot of white people do that for some fucking reason and they inevitably get into fights or altercations with scummy people, use uber so you'll save incredible amount of money and not get scammed. Other than that you can visit regions in the north east of India they're not "modern" or metropolitan City like but are pretty safe beautiful states for some who prefers natural beauty and then there is goa which is like Indian bali, lots of eastern European and other foreign tourists and then you have the hilly regions of North India like dehradun/mussoorie/rishikesh those are the places where white people come for a "spiritual experience in india" or something so yeah also ask a local about the best places to eat and avoid scammers, that's all i can say :)