Has your wife injuries been recorded with your insurance company. She should be OK after a rest, means you've got to cook, wash, hoover etc.

. Joking, us men do all that any way

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Hope you are looking after her and she's OK
Joking apart, injury could cause her pain and suffering for a while. Because the other driver is uninsured, but you know who it is there is a way compensation can be chased. M.I.B. (Motor Insurers Bureau). Part of our premiums are deposited with the MIB which means you can make a claim to them. Understand MIB purpose is for the innocent victim not to suffer too much as a result of the other party either being uninsured or untraceable. Speak to your insurance company for advice.
Happened to my daughter. Polish HGV driver - Police, Insurance couldn't trace him. Settled by MIB.