Florida  |  Real Estate Law

From a purely contracts perspective, I think you may be in the right here. You made an "offer" (I want to rent an apartment for X dollars), and they declined your offer. Their non-acceptance is valid upon your receipt of it. After they changed their minds, it is too late. You should be entitled to whatever portion of the fee/deposit you would be entitled to as though they never accepted you (check any contract you signed for the terms). Good luck.