It might seem logical to wear heavy rubber rain boots when heading to a wet destination, but these types of rain boots aren't actually the best choice for when you're traveling abroad.
Any rain boots that a woman will wear should only be considered if they spend a lot of time outdoors and the forecast indicates heavy rain. Otherwise, opt for regular boots for everything else.
Waterproof leather boots are the best because they are waterproof and keep your feet warm and dry, which is an essential trait for you in cold climates. However, it all depends on how much time you actually spend walking in the rain.