There has been a fairly large gay population on island as long as I’ve lived here and we have several regular guests. We spend a lot of time with them and their adopted son in bars, restaurants, and beaches. Never had a problem. No personal experience with transgender people but as you say, many you won’t know by appearance.

PDA is frowned on for anyone so I’d be conservative but I don’t think you’ll really have issues. People who have issues here are usually looking to have issues.