N.Y. Mental Hyg. Law § 81.35
Upon motion, the court appointing a guardian may remove such guardian when the guardian fails to comply with an order, is guilty of misconduct, or for any other cause which to the court shall appear just. Notice of motion shall be served on the guardian and persons entitled to receive notice pursuant to paragraph three of subdivision (c) of section 81.16 of this article. The motion may be made by the person examining initial and annual reports pursuant to section 81.32 of this article, or by any person entitled to commence a proceeding under this article, including the incapacitated person. The court may fix the compensation of any attorney or person prosecuting the motion. It may compel the guardian to pay personally the costs of the motion if granted.
N.Y. Mental Hyg. Law § 81.35