Well, if the timeline is to be believed they have only been together for 3 weeks (RI as "successful first date"). But still, Rome is one of the most romantic cities in the world, and TH is a fit young bloke who keeps getting uncontrollable erections on the red carpet.

PS I bet the security was not staying in the suite! Or possibly even in that hotel. They looked alone in that pic in the hotel restaurant. There are so many super rich people in those kinds of hotels that she wouldn't really be a target.