Exhibit
10.5


 


Aesther
Healthcare Acquisition Corp.


 


September
14, 2021


 


Aesther
Healthcare Sponsor, LLC


 


Re:
Administrative Support Agreement


 


Ladies
and Gentlemen:


 


This
letter agreement by and between Aesther Healthcare Acquisition Corp. (the “Company”) and Aesther Healthcare Sponsor, LLC
(“AHS”), dated as of the date hereof, will confirm our agreement that, commencing on the date the securities of the Company
are first listed on The Nasdaq Global Market (the “Listing Date”), pursuant to a Registration Statement on Form S-1 and prospectus
filed with the U.S. Securities and Exchange Commission (the “Registration Statement”) and continuing until the earlier of
the consummation by the Company of an initial business combination or the Company’s liquidation (in each case as described in the
Registration Statement) (such earlier date hereinafter referred to as the “Termination Date”):


 


(i)
AHS shall make available, or cause to be made available, to the Company, or any successor location of AHS, certain office space, utilities
and secretarial and administrative support as may be reasonably required by the Company. In exchange therefor, the Company shall pay
AHS the sum of $10,000 per month on the Listing Date and continuing monthly thereafter until the Termination Date; and


 


(ii)
AHS hereby irrevocably waives any and all right, title, interest, causes of action and claims of any kind as a result of, or arising
out of, this letter agreement (each, a “Claim”) in or to, and any and all right to seek payment of any amounts due to it
out of, the trust account established for the benefit of the public stockholders of the Company and into which substantially all of the
proceeds of the Company’s initial public offering will be deposited (the “Trust Account”) as a result of, or arising
out of, this letter agreement, and hereby irrevocably waives any Claim it may have in the future, which Claim would reduce, encumber
or otherwise adversely affect the Trust Account or any monies or other assets in the Trust Account, and further agrees not to seek recourse,
reimbursement, payment or satisfaction of any Claim against the Trust Account or any monies or other assets in the Trust Account for
any reason whatsoever.


 


This
letter agreement constitutes the entire agreement and understanding of the parties hereto in respect of its subject matter and supersedes
all prior understandings, agreements, or representations by or among the parties hereto, written or oral, to the extent they relate in
any way to the subject matter hereof or the transactions contemplated hereby.


 


This
letter agreement may not be amended, modified or waived as to any particular provision, except by a written instrument executed by the
parties hereto.


 


No
party hereto may assign either this letter agreement or any of its rights, interests, or obligations hereunder without the prior written
approval of the other party. Any purported assignment in violation of this paragraph shall be void and ineffectual and shall not operate
to transfer or assign any interest or title to the purported assignee.


 


This
letter agreement constitutes the entire relationship of the parties hereto, and any litigation between the parties (whether grounded
in contract, tort, statute, law or equity) shall be governed by, construed in accordance with, and interpreted pursuant to the laws of
the State of New York, without giving effect to its choice of law principles.


 


[Signature
Page Follows]


 




    	 



     


    

 


	 	Very
    truly yours,
	 	 
	 	AESTHER
    HEALTHCARE ACQUISITION CORP.
	 	 	 
	 	By:	/s/
    Howard A. Doss
	 	Name:	Howard
    A. Doss
	 	Title:	Chief
    Financial Officer


 


	AGREED TO AND ACCEPTED BY:	 
	 	 
	AESTHER HEALTHCARE SPONSOR, LLC	 
	 	 	 
	By:	/s/
    Suren Ajjarapu	 
	Name:	Suren Ajjarapu	 
	Title:	Chief Executive Officer	 


 


[Signature
Page to Administrative Support Agreement]