The Afghan policewoman approached the US adviser as he was walking in the heavily guarded police chief's compound in the capital. She then drew a pistol and shot him once, a senior police official told Reuters.
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The White House said troops with a diagnosis of "gender dysphoria presents considerable risk to military effectiveness and lethality".
Tackling the cost of congestion and repair bills "must be a national priority", the Local Government Association (LGA) said.
"They pitched for some business, they quoted for some business, they were not hired," Mr Tice said