Amendment to Tender Offer Statement Form SC TO I/A

This Amendment No. 1 hereby amends and supplements the Tender Offer Statement on Schedule TO initially filed by Federated Hermes Premier Municipal Income Fund (NYSE: FMN), a Delaware statutory trust registered under the Investment Company Act of 1940, as amended, as a diversified, closed-end management investment company (the "Fund"), with the Securities and Exchange Commission on September 13, 2024 (as amended hereby, the "Schedule TO"). The Schedule TO relates to the Fund's offer to purchase for cash up to 32% of its outstanding common shares of beneficial interest, par value $0.01 per share (the "Common Shares") (the "Offer"), upon the terms and subject to the conditions (and, if the Offer is extended or amended, the terms and conditions of any such extension or amendment) set forth in the Fund's Offer to Purchase dated September 13, 2024 and the related Letter of Transmittal, copies of which have been filed as Exhibits (a)(1)(i) and (a)(1)(ii), respectively.

Filed herewith as Exhibit (a)(5)(iii) is a copy of the press release issued by the Fund dated October 14, 2024 announcing the preliminary results of the Offer. Also filed herewith as Exhibit (a)(5)(iv) is a copy of the press release issued by the Fund dated October 15, 2024 announcing the final results of the Offer. The information contained in these Exhibits is incorporated herein by reference. This Amendment No. 1 is intended to satisfy the reporting requirements of Rule 13e-4(c)(4) under the Securities Exchange Act of 1934, as amended.

Except as amended herein, the information set forth in the Offer to Purchase and the related Letter of Transmittal is incorporated herein by reference with respect to Items 1 through 9 and Item 11 of this Schedule TO.