Officer #1: "Ms. Doe?"
Jane Doe: "Yes, may I help you?"
Officer #1: "Ms. Doe, may we come in please?"
Jane Doe: "Why?"
Officer #1: "I would prefer it if we could speak to you inside please."
Jane Doe: "No you may not come inside. Not without a warrant."
Officer #1: "Very well ma'm. Your husband/son/daughter was just killed in an auto accident. Whenever it is convenient for you, you may go to the Coroners office to identify the remains. I'm sorry for your loss. Good-bye."
But like I said, I don't have an irrational distrust for the police.