The washing machine I own malfunctioned and flooded part of the apartment I rent. The landlord is billing me for charges incurred for replacing the carpet padding and providing blowers to dry the carpet.

I have renter's insurance and have been told that the damages should be covered by the liability portion of it.

I asked the rental office's manager to file a liability claim with my insurance company, but she refuses to do so and wants me to pay the bill right away.

I have also been told that I can not file this claim against myself. Is this information correct? If so, what should I do?
Additional Details
Thanks to everyone. I am clueless in these matters.

I have already reported the incident and an adjuster came over. She denied a claim because none of my belongins were damaged. But I have been told by someone to tell my landlord to file a liability claim against my policy.

Under "Liability Coverages" my policy indicates that "if a claim is made or a suit is brought against any insured because of bodily injury or property damage caused by an occurrence to which this coverage applies, even if the claim is false, we will:
a. pay up to our limit of liability for the damages ..."

And under "Peril Insured Agains" it also indicates:
"Accidental discharge or overflow of water ... from within a household appliance."

Is there a way they can deny the claim ?