I wouldn't even remove it until the replacement arrives. The only thing which is broke is the Lexan cover. There would be no more of a reflection (or chance of it flashing someone in the eyes) than would be seen normally. Another reason is that any road debris which comes up has the chance of damaging something which would normally be protected by the headlight assembly. Lexan is pretty tough ... looks like it doesn't compete with some irresponsible drivers though.
The bulbs will probably burn out soon enough (during first rain storm) or as soon as some contaminants get up on the bulbs. I'd automatically plan on replace all of the bulbs (both sides of the vehicle, top/bottom). When headlight bulbs are used for a period of time, they become dimmer. You'd probably notice a difference between left/right when looking at it. (Not that it would be a big deal, I just personally like mine to be of equal brightness.) Remember when placing new bulbs, do not touch the bulbs with your bare hands. The oils from your fingers get on them and will cause premature death of your bulb (like in days/weeks instead of a couple of years).