It depends on what it is you are doing; the phase of the mission and its importance.
Most FJ HUDs are not the primary flight reference so it isn't an essential item. It could just be the projection system and a "HUD" display could be available on head-down display.
There are lots of considerations and eventualities however if you could get the aircraft back on the ground and fixed for the next sortie quickly then it may be the best course of action.