(e) A party may make a motion to waive the appeal bond provided for in this section if the party is indigent as provided in section 27A of chapter 261. The motion shall, together with a notice of appeal and any supporting affidavits, be filed within the time limits set forth in this section. The court shall waive the requirement of the bond or security if it is satisfied that the person requesting the waiver has any defense which is not frivolous and is indigent as provided in said section 27A of said chapter 261. The court shall require any person for whom the bond or security provided for in subsection (c) has been waived to pay in installments as the same becomes due, pending appeal, all or any portion of any rent which shall become due after the date of the waiver. A court shall not require the person to make any other payments or deposits. The court shall forthwith make a decision on the motion. If the motion is made, no execution shall issue until the expiration of 6 days from the court's decision on the motion or until the expiration of the time specified in this section for the taking of appeals, whichever is later.