Contents Insurance Companies Paying Contents Insurance For Rented Property?

Paying contents insurance for rented property? - contents insurance companies

I had a household contents insurance as part of my contract to make, if I have a tenant. I paid 5 months with good value, I missed the 6th Month and I have not yet recovered to the new policy, because I moved.
Now they want my deposit they shall have. Can she do this even if the do not live there? The payment for my part goes directly to the organization's day to pay insurance - do not go directly to the insurance company itself.