Yay or nay: Would you feel safe exploring Rome on your own?

I am heading to Rome this weekend for 3 full days. I never thought I'd be lucky enough to get to go to Italy ever, so I want to squeeze in as much sightseeing as possible. Unfortunately my husband will be on business so I will be on my own for the vast majority of my time there. We will even be flying separately.

The hotel is pretty far from the city center too, so I will have to take a bus every day if I want to see anything. My question is, how safe is it for a young blonde American woman to be taking public transportation and walking around on her own in Rome? Any tips on avoiding attracting too much attention to myself? Or looking less like a tourist (a.k.a. target)? I'm hearing lots of horror stories, but I'm wondering if they're exaggerating. It does make me nervous though. Am I being paranoid? Help!