Mismanagement of the Estate - While the executor is not personally liable for the debt, you could be if you mismanage the administration of the estate
Estate Valuation
One of the first priorities of the executor or estate trustee is to assess the value of the estate. While the deceased may have assets such as real estate, registered accounts or insurance policies, these assets may pass direct to the beneficiary or joint owner, and not form part of the estate.
Insolvent Estate
Example: You could be personally liable if the assets are distributed to the beneficiaries before the creditors have been paid
To protect yourself it’s important to speak with a lawyer, alternatively you can renounce your duty as an estate trustee