C680 pilot reported the right windshield heat failed followed by the right engine shutting down during cruise. Flight crew diverted and landed safely.

Narrative

Main emergency R engine shutdown in flight details follow: Shortly after takeoff R windshield heat failed. Ran QRH and contacted Maintenance; decided to continue flight as planned. Approx. 5 min after; at FL430 brief Crew Alert System (CAS) message R boost pump on then R Fuel Press Low presented; then the right engine shut down in flight. Pilot Mentoring (PM) (PIC) ran engine shutdown in flight QRC. At the same time we coordinated with ZZZ ARTCC to get a lower altitude and find a feasible airport. We agreed ZZZ was a good option due to Runway length and service availability. We agreed a restart was not worth the time due to time constraints; and the presumption that we had no pumps as that message presented first. We descended to 15000 on the way down doing our best to avoid the weather in between us and ZZZ due to the windshield issue. We ran the QRC engine inop approach; and briefed how we were going to proceed procedurally and in terms of technique continuing along the flight. ZZZ continued to vector us and descend us to a successful landing. We were then towed to the ramp.Suggestions: Training helped tremendously but there is still startle factor that results in imperfections.