I assume the title of the property was in the name of the trust at date of death, otherwise you don't have a trust problem. Trust therefore gets step-up basis to fair market value as of date of death. Trust (not the trustee) then rents property, takes depreciation, pays expenses, and receives income that it either pays income tax on 1041 or passes/distributes the taxable income/loss amount to beneficiaries for taxation (not to confuse with cash distribution) EACH YEAR. The trust then distributes all assets which would be the property and any cash and shows any unused deductions/loss FOR THE FINAL YEAR on the final trust 1041-k1 for the beneficiaries.
Its hard to understand a loss when the only cash the trust had was from rent income, unless the loss was a result of something like depreciation.