I am flying CPH-LHR arriving 08:30 and then onwards on a 14:35 departure LHR-JFK. I need to pick up a book being held for me at the Sheraton Heathrow. If I enter the UK through immigrations, take the bus to the hotel and pick up the book and then enter T5 with my boarding pass. Does that pose a problem? My question centres on whether BA would do something terrible (like unloading me from the flight) if they do not scan my BP at the transit check point. Does anybody know?