You'd consume your air much faster if your pulse was racing but other than that it shouldn't be a problem. If you're scared of closed spaces you might panic but other than that diving is a pretty calming experience for most adults. Sure, if you were diving by yourself in that cave and got lost you'd probably panic but if there's a solid plan/route in place with plenty of margin it shouldn't be that risky. Water temperature and depth seem favourable, there are plenty of open areas on the way. I was really surprised to hear about that diver death, someone must have been taking some unnecessary risks or not paying attention/following procedures. I think only a fraction of the route actually requires diving.