Quote: "If the other driver was cited, he was at fault."
Not necessarily.
1. Was he found guilty in court?
2. Did the police officer actually witness the accident?
Tickets from accident scenes are easy to beat in court unless the police officer actually saw a violation being committed. This is why some states don't even issue tickets f/ moving violations on accidents, mine included. If it's a DUI, DUS, no insurance etc. they can, as this can be proven when they arrive on scene. But how is a cop to know who ran the stop sign or red light if they didn't see it? The police are told they have to issue a citation to someone, so they just pick somebody if it is your word vs the other, and there are no witnesses.
When insurance adjustors make a liability decision they use the police report f/ driver info. mostly. If the police officer didn't see the accident the police report is not even admissable in court and adjustors put very little weight in it other than that.
Cops arrive at the scene and take statements from drivers, witnesses etc. put it on paper and are done. Claims adjustors do a more in depth investigation of the accident. I've proven police reports to be wrong many times. Even proved diagrams completely wrong based on the physical damage of the vehicles, and statements I got.
I'm not saying who is right or wrong here, but if it is your word vs his word and there are no witnesses, that could be why you are being denied. Now sometimes, if this is all I have to go on, then I can sometimes look at the damage to the cars, do a scene investigation, to determine liability. If I can still come to no conclusion, then I take my insureds word f/ it. This is standard procedure f/ insurance companies. The other insurance company will also do the same.
You can certainly try small claims court. It doesn't cost very much to file a case and it seems to be the only option at this point.
Did your insurance company deny their claim f/ property damage?
Good luck to you.