From what you say they're not refusing your lot rent - they are refusing partial payment. You seem to be stating that they will accept payment in full of your rent debt.

They're a business and, as harsh as it seems under the circumstances, they want all of their money. In the absence of that I expect them to continue with the eviction proceedings.

You may be able to get emergency housing assistance from your county government - it's worth checking, but the earlier in the month the better: the counties I am aware of that have emergency housing funds to help people avoid eviction tend to run out of money pretty early in the month.