If the court to which the petition is presented is satisfied thereby, or by the affidavit and certificate presented therewith, that the petition is true, and that there is no reasonable objection to the change of sex designation proposed, and if the petition is to change the sex designation of an infant, that the interests of the infant will be substantially promoted by the change, the court shall make an order authorizing the petitioner to assume the sex designation proposed.
New York Legal Code