Originally Posted by neil

If you're riding hills, a wider gear range will probably be preferable. This makes buying road bikes more challenging, since they usually don't have the same range as mountain or touring bikes. On some bikes this is an easy modification of just swapping the cassette (the stack of gears at the back), while on others the derailleur also needs to be changed, which is a bigger process.

If you're buying new - and you may have to, since bikes in your size are hard to come by - I'd agree that a sport tourer is probably the ideal style given your requirements and noted preferences, but this is a fairly niche bike, so not the easiest thing to find on the used market. A mountain bike or hybrid (MTB frame with road wheels) would also fit your technical requirements though not necessarily the desired aesthetic.

The fact that you yourself are quite light will probably help with the hills. Lighter bikes will be easier at the beginning, but your legs will adapt to whatever model you settle on.