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If you were hired by the tenant and the tenant directed you as to what to throw away, then it is the tenant's fault for anything missing as they directed your performance. So you need to notify the landlord you were hired by the tenant and they told you what to remove and you removed everything as they directed and nothing more. Tell the landlord the tenant is liable to them if they told you to remove property they should not have removed.
IF they try to sue you, then the fact the contract was with the tenant and the tenant directed your performance would be grounds for a motion to name the tenant as a third party to the suit and have them held liable.
Thank you for your reply.You need to tell the landlord that he did not hire you and you did only as directed by your client the tenant and any issues they have they need to take up with the tenant and to cease and desist contacting you about this.