A year and a half ago, I bought a used hybrid (the wrong size!) and within 6 weeks realized I really wanted a road bike. So I sold it for what I paid for it, and bought myself the road bike. I'm 54 so it's not about your age- it's about what you want to do with it. I took off almost 40 lbs with it- if you start riding a lot you can get rid of some of you excess poundage pretty steadily

I'm 5'1", but I do have the short body, longer legs and bought a WSD. I agree you should try several bikes out and find a good fit, size and otherwise. If you decide you want to ride longer distances, the road bike is a better choice. If you're going to do shorter distances, commutes, any gravel roads, the hybrid might be better.

Good luck and tell us what you decide