I would say that Croatia generally speaking is a very safe travel destination, especially compared to other mayor popular tourist destinations.
Having sad this, it is of course advised that you also apply common sense, especially when in new and unknown towns and townships. From what I have seen it is very likely that you will meet a lot of similar female travellers along the way, might even be a good idea to seek accommodation together as accommodation owners usually offer double rooms and, if alone, they still will want to charge the full price.
Also advised is to have phone numbers ready before arrival, some useful numbers are of police, hospital, information services and similar...
More important numbers can be found here:
http://www.dubrovnik-online.net/english/important_numbers.php almost 8 years ago
Erin Croatia is a pretty safe destination for women solo travellers. Like Orsat said, use the usual common sense precautions.
WorldNomads.com has some specific tips for women here
It mentions that you should use care when choosing a Sobe - that's a room in someone else's house (which is a common form of accommodation) - obviously make sure you're comfortable with the host and that the room has a decent lock on it.
Phil t the safety hub almost 8 years ago