I wanted to make sure that every understands, as per your other thread, that you are female, because it makes some difference.
I too have traveled extensively by myself in Russia with absolutely no problem, and expect that it will be the same for you. The vast majority of Russians are extraordinarily kind and helpful, but like everywhere else there are some people that should simply be avoided. The key to traveling in Russia, just like everywhere else, is your ability to distinguish between them.
In any event, you are almost certain to encounter some drunk Russians during your travels and would be well-advised to avoid them to the extent possible. Not that all of them are dangerous, but best-case, drunk Russians can get really sentimental and you might not want the attention.
I guess this is all just common sense, and I don't mean to be patronizing, but I just want to be sure you take appropriate precautions and in general go in without any rose-tinted spectacles.