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
2016 Specialized Ruby Comp disc - Ruby Expert ti 155
2010 Surly Long Haul Trucker - Jett 143