> According to United States Department of Justice document Criminal Victimization in the United States, ... 1 of 6 U.S. women and 1 of 33 U.S. men have experienced an attempted or completed rape.
For a starker contrast compare say Romania with Sweden. Which one might one theoretically feel safer in, in which one might one feel psychologically safer, in which one would one be physically safer?
In 2010, police reported a rate of 27.3 per 100,000 people in USA. According to that document, in India it is 1.8 for 100,000 people. However, very few people report rape in India. It could be 5% or even less than that. Taking this into account the true numbers in India could be higher than in the US. While higher, it may not be order of magnitude worse or systemic than other countries.
The much bigger problem is the slow justice system and very low conviction rates.