Texas Property Code - PROP § 64.059. Application of Proceeds to Expenses of Protecting Real Property; Claims and Defenses of Tenant

(a) Unless otherwise agreed by the assignee, an assignee that collects rents following enforcement under Section 64.054 or 64.055 is not obligated to apply the collected rents to the payment of expenses of protecting or maintaining the real property subject to an assignment of rents.

(b) Unless otherwise agreed by a tenant, the right of the assignee to collect rents from the tenant is subject to the terms of any agreement between the assignor and tenant or any claim or defense of the tenant arising from the assignor's nonperformance of that agreement.